There are place value of two in 40.02 is hundredth place
-Answered by yash chaurasia On 24 June 2022:09:11:03 PM
Question 1. Asked on :24 June 2022:09:05:48 PM
There are is a pleace value of two 40.02
-Added by yash chaurasia Mathematics » Fraction And Decimal
Answer:
There are place value of two in 40.02 is hundredth place
-Answered by yash chaurasia On 24 June 2022:09:11:03 PM
Question 2. Asked on :20 June 2022:11:50:10 AM
-Added by Master Mind Mathematics » Know Your Numbers
Answer:
267,962,433
Twenty six million seven hundred nine sixty two thousand four hundred thirty three
-Answered by yash chaurasia On 24 June 2022:08:51:03 PM
Question 3. Asked on :09 June 2022:11:09:09 AM
If the 1st term of a series is 7 and 13th term is 35. find the sum of 13 terms of the sequence.
-Added by Master Purushottam Mathematics » Arithmetic Progressions
Answer:
a= 7 , a13 = 35
Sn = n2 (a + l)
S13 = 132 (7+35)
= 132 x 42
= 13 x 21
= 273
Hence, the sum of the first 13 term of the sequence is 273.
-Answered by Master Purushottam On 09 June 2022:11:19:25 AM
Question 4. Asked on :09 June 2022:10:56:24 AM
Value of the roots of the quadratic equation,
x2 -x-+=0 are.................
-Added by Master Purushottam Mathematics » Quadratic Equations
Answer:
CORRECT EQUALTION
x2 -x- 2 =0
=> x2 - x - 6 =0
=> x2 -3x + 2x - 6 =0
=> x(x-3) + 2(x-3) = 0
=> (x - 3) (x+2) = 0
=> x = 3 , x = -2
-Answered by Master Purushottam On 09 June 2022:10:57:52 AM
Question 5. Asked on :09 June 2022:10:42:27 AM
solve for x (in term of a and b):
a/x-b + b/x-a = 2, x≠ a,b
-Added by Master Purushottam Mathematics » Algebra Expression
Answer:
a(x-a) + b(x-b)
(x-b) (x-a) = 2
cross multiplying both the sides
a(x-a) + b(x-b) = 2[x2-(a+b)x+ ab]
ax- a2 + bx -b2 = 2x2 -2(a+b)x + 2ab
2x2 -3(a+b)x + (a+b)2 = 0
2x2 -2(a+b)x -(a+b)x + (a+b)2 = 0
[2x- (a+b) ] [x-(a+b)] = 0
x = a + b, a + b2
-Answered by Master Purushottam On 09 June 2022:10:46:59 AM
Question 6. Asked on :01 June 2022:05:35:09 PM
In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third and so on. There are 5 rose plants in the last row. How many rows are there in the flower bed?
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=23, d= -2
an =5
=>a+(n-1)d=5
=>23+(n-1)-2=5
=>(n-1)-2=5-23
=>(n-1)=-18/-2
=>n=9
-Answered by Shruti Srivastva On 01 June 2022:06:01:47 PM
Question 7. Asked on :01 June 2022:05:25:29 PM
If sn, the sum of first n terms of an A.P. is given by sn=3n2-4n, find the nth term.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
s1=a1=3(1)2-4(1)
=> 3-4
=> -1
s2=3(2)2-4(2)
=>12-8
=>4
s2-s1=a2
a2=4-(-1)
a2=5
d=a2-a1
d=5-(-1)
d=6
an = a+(n-1)d
=> -1+(n-1)6
=> -1+6n-6
=>6n-7
-Answered by Shruti Srivastva On 01 June 2022:05:28:25 PM
Question 8. Asked on :01 June 2022:05:16:00 PM
Which term of the A.P. 3,15,27,39..... will be 120 more than its 21st term?
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=3, d=12, n=21
an = a+(n-1)d
=> 3+(21-1)12
=> 3+(20)12
=> 3+240
=> 243
120 more than 21st term =243+120=363
an = 363
=>a+(n-1)d=363
=>3+(n-1)12=363
=>(n-1)12=363-3
=>(n-1)=360/12
=>n=30+1
=> n=31
-Answered by Shruti Srivastva On 01 June 2022:05:19:13 PM
Question 9. Asked on :01 June 2022:04:22:08 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Question 10. Asked on :01 June 2022:04:12:59 PM
Find the number of natural numbers between101 and 999 which are divisible bu both 2 and 5.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
Number which are divisible by 2 and 5
=> number which are diisible by 2×5=10
A.P. 110,120,130.....990
a=110, d=10
an = 990
=>a+(n-1)d=990
=> 110+(n-1)10=990
=> (n-1)10=990-110
=> (n-1)10=880
=> (n-1)=880/10
=> n=88+1
=> n=89
-Answered by Shruti Srivastva On 01 June 2022:04:16:31 PM
Question 11. Asked on :01 June 2022:03:56:13 PM
The sum of 5th and 9th terms of an A.P. is 72 and the sum of 7th and 12th term is 97. Find the A.P.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a5+a9 =72
=> a+4d+a+8d=72
=> 2a+12d=72
=> a+6d=36
=> a=36-6d----(1)
a7+a12 = 97
=> a+6d+a+11d=97
=> 2a+17d=97----(2)
putting eq(1) in eq(2)
=>2a+17d=97
=>2(36-6d)+17d=97
=>72-12d+17d=97
=>5d=97-72
=>5d=25
=>d=25/5
=>d=5
putting d in eq.(1)
a=36-6d
a=36-6(5)
a=36-30
a=6
A.P. 6,11,16,21....
-Answered by Shruti Srivastva On 01 June 2022:03:58:33 PM
Question 12. Asked on :01 June 2022:03:44:51 PM
Find the sum of integers between 10 and 500 which are divisible by7.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P., 14,21............497
a=14, d=7
an = 497
=>a+(n-1)d=497
=>14+(n-1)7=497
=>(n-1)7=497-14
=>(n-1)=483/7
=>(n-1)=69
=>n=69+1
=>n=70
sn = n/2[2a+(n-1)d]
=> 70/2[2×14+(70-1)7]
=> 35[28+483]
=> 35[511]
=> 17885
-Answered by Shruti Srivastva On 01 June 2022:03:46:36 PM
Question 13. Asked on :01 June 2022:03:33:05 PM
Find the middle terms of the A.P. 7,13,19...241.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Question 14. Asked on :01 June 2022:03:22:54 PM
Which term of the A.P. 121,117,113.... is the first negative terms?
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=121, d=-4
=>a+(n-1)d<0
=>121+(n-1)-4<0
=>121-4n+4<0
=>125-4n<0
=>n<125/4
n=32
32th term
-Answered by Shruti Srivastva On 01 June 2022:03:26:08 PM
Question 15. Asked on :01 June 2022:03:09:13 PM
Which term of the A.P. 3,7,11,15.... is 79? Also find the sum 3+7+11+15+.....79?
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=3, d=4
an = 79
=> a+(n-1)d=79
=> 3+(n-1)4=79
=> (n-1)4=79-3
=> (n-1)=76/4
=> (n-1)=19
=> n=19+1
=> n=20
sn = n/2[2a+(n-1)d]
=> 20/2[2×3+(20-1)4]
=> 10[82]
=> 820
-Answered by Shruti Srivastva On 01 June 2022:03:14:54 PM
Question 16. Asked on :30 May 2022:05:15:32 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
putting n=1
a1 = 5(1)-1
=> 5-1
=> 4
a2 = 5(2)-1
=> 10-1
=> 9
a=4,d=5
sn = n/2[2a+(n-1)d]
=> 20/2[2×4+(20-1)5]
=> 10[8+95]
=> 10[103]
=> 1030
-Answered by Shruti Srivastva On 30 May 2022:05:30:09 PM
Question 17. Asked on :30 May 2022:04:54:10 PM
Find the middle term of an A.P. ,-6,-2,2,........58.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
an = 58
=> a+(n-1)d=58
=> -6+(n-1)4=58
=> (n-1)4=58+6
=> (n-1)=64/4
=> n=16+1
=> n=17
Middle term = (n+1/2)th term
=> (17+1/2)
=> (18/2)
=> 9th term
a9 = a+8d
=> -6+8(4)
=> -6+32
=> 26
-Answered by Shruti Srivastva On 30 May 2022:04:59:07 PM
Question 18. Asked on :30 May 2022:04:36:38 PM
Find How many two digit numbers are divisible by 6?
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P.:- 12,18,........ 96
a=12, d=6
an=96
=>a+(n-1)d=96
=>12+(n-1)6=96
=>(n-1)6=96-12
=>(n-1)6=84
=>(n-1)=84/6
=>n=14+1
=>n=15
15 two digit number are divisible by 6
-Answered by Shruti Srivastva On 30 May 2022:04:48:34 PM
Question 19. Asked on :30 May 2022:04:28:45 PM
Find whether (-150) is a term of A.P. 11,8,5,2,........?
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=11, d=-3
an = -150
=> a+(n-1)d = -150
=> 11+(n-1)-3=-150
=> 11-3n+3=-150
=> 14-3n=-150
=> -3n=-150-14
=> -3n=-164
=> n= 164/3
-150 is not a term of this A.P.
-Answered by Shruti Srivastva On 30 May 2022:04:43:23 PM
Question 20. Asked on :30 May 2022:04:15:01 PM
Solve 1+4+7+10+.....+x=287
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P. :- 1,4,7,10.....
a=1, d=3
sn = 287
=> n/2[2a+(n-1)d]=287
=> n/2[2×1+(n-1)3]=287
=> n/2[2+3n-3]=287
=> n/2[3n-1]=287
=> 3n2-n = 287×2
=> 3n2-n-574=0
=> 3n2-42n-41n-574=0
=> 3n(n-14)-41(n-14)=0
=> (3n-41)(n-14)=0
=> 3n-41=0, (n-14)=0
=> n=41/3(not possible), n=14
ans.14
-Answered by Shruti Srivastva On 30 May 2022:04:18:48 PM
Question 21. Asked on :30 May 2022:04:07:43 PM
If 10 times of 10th term is equal to 20 times of 20th term of an A.P. Find its 30th term.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
10(a10)=20(a20)
=> 10(a+9d)=20(a+19d)
=> 10a+90d=20a+380d
=> 20a+380d=10a+90d
=> 20a-10a = 380d-90d
=> 10a=290d
=> a=29d
=> a-29d=0
a30 = 0
30th term of this A.P. is 0
-Answered by Shruti Srivastva On 30 May 2022:04:10:31 PM
Question 22. Asked on :30 May 2022:04:00:17 PM
How many terms of the A.P. 22,20,18, ...... should be taken so that their sum is zero.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=22, d=-2
sn = 0
=> n/2[2a+(n-1)d]=0
=> n/2[2×22+(n-1)-2]=0
=> n/2[44-2n+2]=0
=> n/2[46-2n]=0
=> 46-2n=0
=> -2n=-46
=> n=46/2
=> n=23
23 terms should be taken
-Answered by Shruti Srivastva On 30 May 2022:04:01:52 PM
Question 23. Asked on :30 May 2022:03:44:56 PM
If 4m+8, 2m2+3m+6, 3m2+4m+4 are three consecutive terms of an A.P. find m.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a3-a2 = a2-a1
=> 3m2+4m+4-(2m2+3m+6)=2m2+3m+6-(4m+8)
=> 3m2 +4m+4-2m2-3m-6 = 2m2+3m+6-4m-8
=> m2-m-2 = 2m2-m-2
=> 2m2-m2 =0
=> m2=0
=> m=0
-Answered by Shruti Srivastva On 30 May 2022:03:47:24 PM
Question 24. Asked on :30 May 2022:03:36:59 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P.:- 2,4,6......198
a=2, d=2
an =198
=>a+(n-1)d=198
=>2+(n-1)2=198
=>2+2n-2=198
=>2n=198
=>n=198/2
=>n=99
sn = n/2[2a+(n-1)d]
=> 99/2[2×2+(99-1)2]
=> 99/2[4+(98)2]
=> 99/2[4+196]
=> 99/2[200]
=> 99[100]
=> 9900
-Answered by Shruti Srivastva On 30 May 2022:03:37:55 PM
Question 25. Asked on :30 May 2022:03:32:01 PM
Find the sum of first 15 multiples 8.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P. :- 8,16,24.....
a=8, d=8, n=15
sn = n/2[2a+(n-1)8]
=> 15/2[2×8+(15-1)8]
=> 15/2[16+112]
=> 15/2[128]
=> 15[64]
=> 960
-Answered by Shruti Srivastva On 30 May 2022:03:32:47 PM
Question 26. Asked on :30 May 2022:03:24:37 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=12, d=6,
an=252
=> a+(n-1)d=252
=> 12+(n-1)6=252
=> (n-1)6=252-12
=> (n-1)6=240
=> (n-1)=240/6
=> (n-1)=40
=> n=40+1
=> n=41
sn =n/2[2a+(n-1)d]
=> 41/2[2×12+(41-1)6]
=> 41/2[24+240]
=> 41/2[264]
=> 41[132]
=> 5412
-Answered by Shruti Srivastva On 30 May 2022:03:26:13 PM
Question 27. Asked on :30 May 2022:03:17:29 PM
Which term of the A.P. 5,15,25... will be 130 more than its 31st term?
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
an = a+(n-1)d
a31 = 5+(31-1)10
a31 = 5+(30)10
a31 = 5+300
a31 = 305
130 more than 31st term = 305+130 = 435
an = 435
=>a+(n-1)d=435
=>5+(n-1)10=435
=>(n-1)10=435-5
=>(n-1)=430/10
=>(n-1)=43
=>n=43+1
=>n=44
ans. 44th term
-Answered by Shruti Srivastva On 30 May 2022:03:19:21 PM
Question 28. Asked on :28 May 2022:05:58:48 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Question 29. Asked on :28 May 2022:05:53:39 PM
Is 144 a term of the A.P. 3,7,11,...? Justify your answer
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
an = 144
=> a+(n-1)d = 144
=> 3+(n-1)4 = 144
=> (n-1)4 = 144-3
=> (n-1)4 = 141
ans. 144 is not a term of this A.P.
-Answered by Shruti Srivastva On 28 May 2022:05:55:54 PM
Question 30. Asked on :28 May 2022:05:37:41 PM
State true/false and justify
Sum of first 20 natural numbers is 410.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P.:- 1,2,3....20
a=1, d=1
sn = 410
=> n/2 [2a+(n-1)d] = 410
=> 20/2 [2(1)+(20-1)1]=410
=> 10[2+19]=410
=> 10 [21] = 410
=> 210≠410
ans. false
-Answered by Shruti Srivastva On 28 May 2022:05:39:58 PM
Question 31. Asked on :28 May 2022:05:35:14 PM
2,5,9,14 .... is an A.P.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a3 -a2 = a2 -a1
9-5 = 2-5
4≠-3
ans. false
-Answered by Shruti Srivastva On 28 May 2022:05:36:22 PM
Question 32. Asked on :28 May 2022:05:30:23 PM
State true/False and justify
301 is a term of an A.P. 5,11,17,23...
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=5, d=6
an = 301
a+(n-1)d = 301
5+(n-1)6 = 301
(n-1)6 = 301-5
(n-1)6 = 296
(n-1) = 296/6
n-1 = 49.66
ans. false
-Answered by Shruti Srivastva On 28 May 2022:05:32:00 PM
Question 33. Asked on :28 May 2022:05:27:45 PM
The first term of an A.P., is p and the common difference is q, then its 10th term is
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
p+9q
-Answered by Shruti Srivastva On 28 May 2022:05:29:59 PM
Question 34. Asked on :28 May 2022:05:23:53 PM
What is the common difference of an A.P. in which a18 -a14 =32?
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a18 - a14 = 32
=>(a+17d)-(a+13d) = 32
=>a+17d -a -13d = 32
=>4d = 32
=>d = 32/4
=>d= 8
-Answered by Shruti Srivastva On 28 May 2022:05:25:22 PM
Question 35. Asked on :28 May 2022:05:21:44 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
Gauss
-Answered by Shruti Srivastva On 28 May 2022:05:23:38 PM
Question 36. Asked on :28 May 2022:05:15:32 PM
The 11th term from the last term of an A.P. 10, 7, 4,..., -62 is
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P.:- 10,7,4......-62
reversing the A.P.
A.P., -62,-59,........4,7,10
a= -62, d=3
an = a+(n-1)d
a11 = -62+(11-1)3
a11 = -62+(10)3
a11 = -62+30
a11 = -32
-Answered by Shruti Srivastva On 28 May 2022:05:17:07 PM
Question 37. Asked on :28 May 2022:05:13:49 PM
The list of numbers -10,-6,-2,2,....is
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
-Answered by Shruti Srivastva On 28 May 2022:05:14:37 PM
Question 38. Asked on :28 May 2022:05:09:18 PM
The first three terms of an A.P. respectively are 3y-1, 3y+5 and 5y+1 then y equals:
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a3-a2 = a2-a1
=> 5y+1-(3y+5) = 3y+5-(3y-1)
=> 5y+1-3y-5 = 3y+5-3y+1
=> 2y-4 = 6
=> 2y = 6+4
=> 2y = 10
=> y = 10/2
=> y = 5
-Answered by Shruti Srivastva On 28 May 2022:05:10:46 PM
Question 39. Asked on :28 May 2022:05:03:02 PM
In an A.P., if d=-4, n=7, an =4, then a is
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
an = a+(n-1)d = 4
=> a+(7-1)-4 = 4
=> a+(6)-4 = 4
=> a-24 =4
=> a = 4+24
=> a= 28
-Answered by Shruti Srivastva On 28 May 2022:05:06:16 PM
Question 40. Asked on :28 May 2022:04:52:32 PM
11th term of anA.P., -3, -1/2,,...... is
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=-3, d=-5/2
an = a+(n-1)d
a11 = -3+(11-1)-5/2
a11 = -3+(10)-5/2
a11 = -3+25
a11 = 22
-Answered by Shruti Srivastva On 28 May 2022:04:53:35 PM
Question 41. Asked on :28 May 2022:04:45:37 PM
30th term of the A.P. 10,7,4.... is
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=10, d=-3, n=30
an = a+(n-1)d
a30 = 10+(30-1)-3
a30 = 10+(29)-3
a30 = 10-87
a30 = -77
-Answered by Shruti Srivastva On 28 May 2022:04:46:32 PM
Question 42. Asked on :28 May 2022:04:34:57 PM
Find the missing term
__, 38, __, __, __, -22
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a2 = 38
a+d = 38
d = 38-a -----(1)
a6 = -22
a+5d = -22 ----(2)
putting eq.1 in eq.2
a+5d = -22
a+5(38-a) = -22
a+190-5a = -22
-4a = -22-190
-4a = -212
a = 212/4
a = 53
putting a in eq.1
d = 38-a
d = 38-53
d = -15
a3 = a+2d
=> 53+2(-15)
=> 53-30
=> 23
a4 = a+3d
=> 53+3(-15)
=> 53-45
=> 8
a5 = a+4d
=> 53+4(-15)
=> 53-60
=> -7
A.P.:- 53,38,23,8,-7
-Answered by Shruti Srivastva On 28 May 2022:04:35:47 PM
Question 43. Asked on :28 May 2022:04:28:41 PM
Find the missing term
-4,__,__,__,__,6
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a6 = 6
a+5d = 6
-4+5d = 6
5d = 6+4
5d = 10
d= 10/5
d = 2
a2 = a+d
=>-4+2
=> -2
a3 = a+2d
=> -4+2(2)
=> -4+4
=> 0
a4 = a+3d
=> -4+3(2)
=> -4+6
=> 2
a5 = a+4d
=> -4+4(2)
=> -4+8
=> 4
-Answered by Shruti Srivastva On 28 May 2022:04:30:32 PM
Question 44. Asked on :28 May 2022:04:20:40 PM
Find the missing term
5,__,__,19/2
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a4 = 19/2
5+3d = 19/2
3d = 19/2-5
3d = 9/2
d = 9/2 ÷3
d = 3/2
a2 = a+d
a2 = 5+3/2
a2 = 13/2
a3 = a+2d
a3 = 5+2×3/2
a3 = 8
-Answered by Shruti Srivastva On 28 May 2022:04:23:23 PM
Question 45. Asked on :28 May 2022:04:11:02 PM
__, 13, __, 3
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a2 = 13
a+d = 13
a = 13-d----(1)
a4 = 3
a+3d = 3 -----(2)
from eq. (1) and (2)
a+3d = 3
(13-d)+3d = 3
13+2d = 3
2d = 3-13
2d = -10
d= -10/2
d=-5
putting d in eq. 1
a=13-(-5)
a=13+5
a=18
a3 = a+2d
a3 = 18+2(-5)
a3 = 18-10
a3 = 8
-Answered by Shruti Srivastva On 28 May 2022:04:11:58 PM
Question 46. Asked on :28 May 2022:04:05:19 PM
2,__,26
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a3 = 26
a+2d = 26
2+ 2d = 26
2d = 26-2
2d = 24
d = 24/2
d = 12
a2 = a+d
a2 = 2+12
a2 = 14
-Answered by Shruti Srivastva On 28 May 2022:04:08:33 PM
Question 47. Asked on :28 May 2022:04:02:03 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
k-2-3 = 5-(k-2)
k-5 = 5-k+2
k-5 = 7-k
k+k = 7+5
2k = 12
k = 12/2
k = 6
-Answered by Shruti Srivastva On 28 May 2022:04:03:09 PM
Question 48. Asked on :28 May 2022:03:54:37 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
an = a+(n-1)d
a16 = -10+(16-1)-2
a16 = -10 -32+2
a16 = -42+2
a16 = -40
-Answered by Shruti Srivastva On 28 May 2022:03:58:32 PM
Question 49. Asked on :28 May 2022:03:47:39 PM
4,9,14,.............,254
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=4, d=5, an =254
an = a+(n-1)d
a4 = 4+(4-1)5
a4 = 4+(3)5
a4 = 4+15
a4 =19
an = a+(n-1)d
a8 = 4+(8-1)5
a8 = 4+(7)5
a8 = 4+35
a8 = 39
a8-a4
=> 39-19
=>20
ans.=20
-Answered by Shruti Srivastva On 28 May 2022:03:49:21 PM
Question 50. Asked on :28 May 2022:03:42:20 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
an = 3n+7
putting n=1
a1 = 3(1)+7
a1 = 10
putting n=2
a2 = 3(2)+7
a2 = 6+7
a2 = 13
d= a2-a1
d= 13-10
d=3
-Answered by Shruti Srivastva On 28 May 2022:03:45:13 PM
Question 51. Asked on :28 May 2022:03:37:24 PM
Find the nth term of the A.P. -10,-15,-20,-25...........
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
an = a+(n-1)d
an = -10+(n-1)-5
an = -10-5n+5
an = -5n-5
an = -5(n+1)
-Answered by Shruti Srivastva On 28 May 2022:03:39:48 PM
Question 52. Asked on :28 May 2022:03:30:35 PM
Write the sum of first n even numbers.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=2, d=2
sn = n/2[2a+(n-1)d]
sn = n/2[2×2+(n-1)2]
sn = n/2[4+2n-2]
sn = n/2[2n+2]
sn = n/2×2[n+1]
sn = n[n+1]
-Answered by Shruti Srivastva On 28 May 2022:03:34:02 PM
Question 53. Asked on :28 May 2022:03:23:46 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P. :- 1,2,3......
a=1, d=1
sn = n/2[2a+(n-1)d]
sn = n/2[2×1+(n-1)1]
sn = n/2[2+n-1]
sn = n/2[n+1]
-Answered by Shruti Srivastva On 28 May 2022:03:33:13 PM
Question 54. Asked on :28 May 2022:03:18:06 PM
Write the nth term of odd numbers.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
A.P.:- 1,3,5.....
a=1, d=2
an = a+(n-1)d
an = 1+(n-1)2
an = 1+2n-2
an = 2n-1
-Answered by Shruti Srivastva On 28 May 2022:03:20:23 PM
Question 55. Asked on :28 May 2022:03:11:29 PM
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
a=2, d=2, n=10
sn = n/2 [2a+(n-1)d]
sn = 10/2[2×2+(10-1)2]
sn = 5[4+9(2)]
sn = 5[4+18]
sn = 5[22]
sn = 110
-Answered by Shruti Srivastva On 28 May 2022:03:12:05 PM
Question 56. Asked on :28 May 2022:03:07:18 PM
Find 5th term of an A.P. whose nth term is 3n-5.
-Added by Shruti Srivastva Mathematics » Arithmetic Progressions
Answer:
n=5
=>3n-5
=>3(5)-5
=> 15-5
=> 10
5th term is 10
-Answered by Shruti Srivastva On 28 May 2022:03:10:21 PM
Question 57. Asked on :27 May 2022:05:47:16 PM
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
and height of cone = 3x cm
=>12×volume of 1 toy = volume of solid cylinder
=>12×[2πr3 +⅓r2 h]
=>12×[2πx3 +⅓x2 3x]
=>π(6)2×15
=>x3 = 27
=>x=3cm
∴Radius of hemisphere = 3cm
and total height of toy = 3+(3×3)
=3+9
=12cm
-Answered by Shruti Srivastva On 27 May 2022:05:51:12 PM
Question 58. Asked on :27 May 2022:05:40:07 PM
A hemispherical depression is cut out from one face of a cuboidal wooden block of edge 21cm, such that the diameter of the hemisphere is equal to edge of the cube. Determine the volume of the remaining block.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Radius of hemisphere = 21/2 cm = 10.5cm
Volume of remaining block = (21)3 - 2/3 × 22/7 × (10.5)3
= 6835.5 cm3
-Answered by Shruti Srivastva On 27 May 2022:05:45:18 PM
Question 59. Asked on :27 May 2022:05:31:47 PM
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Height of sone = 9.5-3.5 6cm
Volume of solid = 2/3πr3+⅓πr2 h
=> 2/3×22/7×(3.5)3 + ⅓×22/7×(3.5)2 ×6
=> 166.83 cm3 approx.
-Answered by Shruti Srivastva On 27 May 2022:05:36:10 PM
Question 60. Asked on :27 May 2022:05:16:09 PM
An open metal bucket is in the shape of a frustum of cone of height 21 cm with radii of its lower and upper ends 10cm and 20cm respectively. Find the cost of milk which can completely fill the bucket at the rate of rupee 40 per litre.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
h=21cm, R=20cm, r=10cm
Volume of bucket = ⅓πh[r2+R2+r×R]
=> ⅓×22/7×21×[(10)2+(20)2+10×20]
=> 15400 cm3
=> 15.4 litre
Cost of milk @ rupee 40 per litre = 15.4 ×40
=rupees 616
-Answered by Shruti Srivastva On 27 May 2022:05:20:32 PM
Question 61. Asked on :27 May 2022:04:38:58 PM
The difference between outer and inner curved surface areas of a hollow right circular clinder, 14cm long is 88cm2 . If the volume of the metal used in making the cylinder is 176cm3 . Find the outer and inner diameters of the cylinder.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Difference between Outer and inner CSA = 88cm2
=> 2πh[R-r] = 88
=> 2×22/7×14×[R-r]=88
=> 88×[R-r]=88
=> [R-r]=1 -----(1)
Volume of hollow cylinder = 176cm3
=> πh[R2-r2]=176
=> 22/7×14×[R2-r2]=176
=> R2-r2 =4
=> (R+r)(R-r)=4 ----(2)[from-(1)]
From (1) and (2), we get
R=2.5cm and r=1.5cm
∴Outer and inner diameter are 5cm and 3 cm respectively.
-Answered by Shruti Srivastva On 27 May 2022:04:54:54 PM
Question 62. Asked on :27 May 2022:04:30:25 PM
The rain water from a roof 22m×20m× drains into a cylindrical vessel having diameters of base 2m and height 3.5m. If the vessel is just full, find the rainfall in cm.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Rainfall = Volume of cylindrical vessel/Area of roof
=> πr2h/l×b
=> 22/7×(1)2 ×3.5/22×20
=>1/40
=> 1/40×100cm
=> 2.5cm
-Answered by Shruti Srivastva On 27 May 2022:04:33:26 PM
Question 63. Asked on :27 May 2022:04:21:48 PM
A tent is in the shape of a right circular cylinde upto a height of 3m and conical abve it. The total height of the tent is 13.5m and radius of base is 14m. Find the cost of cloth required to make the tent atthe rate of rupees 80 per m2.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
-Answered by Shruti Srivastva On 27 May 2022:04:24:49 PM
Question 64. Asked on :27 May 2022:04:09:39 PM
A tent is in the shape of a right circular cylinder with a hemiapsherical shape at one end and a cone at the other end. Their diameters is 4.2cm and the heights of the cylindrical and conical portions are 12cm and 7cm respectively. Find the volume of the toy.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Volume of toy = Volume of cylidrical part + Volume of hemispherical part + Volume of conical part
=> πr2 h+2/3πr3 +⅓πr2 h
=> 22/7×(2.1)2 ×12+⅓×22/7×(2.1)2 ×7+2/3×22/7×(2.1)3
=> 218.064 cm3
-Answered by Shruti Srivastva On 27 May 2022:04:21:26 PM
Question 65. Asked on :27 May 2022:03:51:31 PM
Volume of toy = Volume of cylidrical part + Volume of hemispherical part + Volume of conical part
=> πr2 h+2/3πr3 +⅓πr2 h
=> 22/7×(2.1)2 ×12+⅓×22/7×(2.1)2 ×7+2/3×22/7×(2.1)3
=> 218.064 cm3
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Question 66. Asked on :27 May 2022:03:40:56 PM
In the given figure, from a cuboidal solid metalic block of dimensions 15cm×10cm×5cm a cylindrical hole of diameter 7cm is drilled out. Find the surface area of the remaining block.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
=> 2(lb+bh+hl)+2πrh-2πr2
=> 2(15×10+10×5+15×5)+2×22/7×7/2×5-2×22/7×(7/2)2
=> 583 cm2
-Answered by Shruti Srivastva On 27 May 2022:03:43:29 PM
Question 67. Asked on :27 May 2022:03:28:32 PM
A solid woodn toy is in the form of a hemi-sphere surmounted by a cone of same radius. The radius of hemi-sphere is 3.5 cm and the total wood used in making of toy is 166 5/6 cm3 . Find the height of the toy. Also, find the cost of painting the hemi-spherical part of the toy at the rate of rupees 10 per cm2.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
radius = 3.5 cm
Volume of toy=166 5/6 cm3 = 1001/6cm3
=> 2/3πr3 +⅓πr2 h = 1001/6
=> 2/3×22/7×(7/3)3 +⅓×22/7×(7/2)2 ×h = 1001/6
=> h=6cm
Area of hemispherical part of toy
=> 2πr2
=> 2×22/7×(7/2)2
=> 77cm2
Cost of paining = 77×10= rupees 770
-Answered by Shruti Srivastva On 27 May 2022:03:32:11 PM
Question 68. Asked on :27 May 2022:03:16:02 PM
from the top of a solid cone of height 12 cm and base radius 6 cm, a cone of height 4cm is removed by a plane parallel to the base. Find the total surface area of the remaining solid.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
Radii of frustum are 6cm and 2cm.
Height of frustum = 12-4=8cm
Slant height = √(8)2+(6-2)2
= √64-16
= √48
= 4√5 cm
Total surface area of frustum
= πl(R+r)+π(R2+r2)
= 22/7×4×2.236×[6+2]+22/7×(6)2+22/7×(2)2
= 350.592 cm2 approx.
-Answered by Shruti Srivastva On 27 May 2022:03:21:42 PM
Question 69. Asked on :26 May 2022:05:10:27 PM
An open metallic bucket is in the shape of a frustum of a cone, If the diameters of the two circular ends of the bucket are 45cm and 25cm and the vertical height of the bucket is 24cm, find the area of the metallic sheet used to make the bucket. Also find the volume of the water it can hold.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
slant height = √(24)2+(45/2-25/2)2
= 26cm
Surface area of bucket = πl(R+r)+πr2
=> 22/7×26(45/2+25/2)+22/7×25/2×25/2
=>3351.07 cm2approx.
Volume of bucket = ⅓πh[R2+r2+R×r]
=>⅓×22/7×24×[(45/2)2+(25/2)2+45/2×25/2]
=> 23728.57 cm3 approx.
-Answered by Shruti Srivastva On 26 May 2022:05:14:03 PM
Question 70. Asked on :26 May 2022:04:52:06 PM
A container opened at the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16cm with radii of its lower and upper ends as 8cm and 20 cm respectively. Find the cost of milk which can completely fill the container, at the rate of rupees 50 per litre. Also find the cost of metal sheet used to make the container, if it costs rupees 10 per 100cm2.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Volume of container = ⅓πh(R2+r2+R×r)
=> 3.14×16/3 [(20)2+(8)2+20×8]
=> 10450 cm3approx.
=> 10.45 litres
Cost of milk = 10.45×50 = 522.50
Slant height = √h2+(R-r)2
=20cm
Surface area of conatiner
=3.14×20(20+8)+3.14×(8)2
= 1959.36 cm2
Cost of metal sheet = 10/100 × 1959.36
= 195.94 rupees
-Answered by Shruti Srivastva On 26 May 2022:04:57:20 PM
Question 71. Asked on :26 May 2022:04:42:20 PM
A right culindrical container of radius 6cm andheight15cm is full of ice-cream, which has to be distributed to 10 children in equal cones having hemispherical shape of thew top. If the height of the conical portion is four times its base radius, find the radius of the ice-cream cone.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
∴ Height of conical section be 4r cm.
A.T.Q.,
=>10×Volume of ice-cream in 1 cone = Volume of cylindrical container
=>10[⅓πr2h+2/3πr3] = πr2h
=> 10[⅓πr2×4r+2/3πr3] = π(6)2h
=>r=3 cm
-Answered by Shruti Srivastva On 26 May 2022:04:45:27 PM
Question 72. Asked on :26 May 2022:04:32:58 PM
A solid iron pole consists of a cylinder of height 220cm and base diameter 24cm, which is surmounted by another cylinder of heigt 60cm and radius 8cm. Find the mass of the pole, given that 1cm3 of iron has approximately 8gm mass.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
R=12cm, H=220cm
r=8cm, h= 60cm
Volme of solid = πR2H+πr2h
=> 3.14×(12)2×220+3.14×(8)2×60
=> 111532.8cm3
Mass of the pole
=> 111532.8×8/1000
=>892.2624 kg
-Answered by Shruti Srivastva On 26 May 2022:04:36:20 PM
Question 73. Asked on :26 May 2022:04:13:53 PM
A bucket ope at the top is in the form of a frustum of a cone with a capaity of 12308.8cm2. The radii of the top and bottom of the circular ends of the bcket are 20cm and 12 cm respectively. Find the height of the bucket and also the area of the metal sheet used in making it.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
r=12cm
Volume of bucket=12308.8cm3
=>⅓×πh[R2 +r2 +R×r] = 12308.8
=>⅓×3.14×h[(20)2 + (12)2 +20×12] = 12308.8
=> h=15cm
slant height,
l=√h2-(R-r)2
l = √(15)2 (20-12)2
l = 17cm
Surface area of metal sheet used
=> π×l×(R+r)+π×(r)2
=> 3.14×17×(20+12)+3.14×(12)2
=> 2160.32 cm2
-Answered by Shruti Srivastva On 26 May 2022:04:21:21 PM
Question 74. Asked on :26 May 2022:04:11:18 PM
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Question 75. Asked on :26 May 2022:04:01:49 PM
A solid metallic cuboid of dimensions 24cm×11cm×7cm is melted and recast into solid cones of base radius 3.5cm and height 6cm. Find the number of cones so formed.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
radius of cone = 3.5cm
height of cone = 6cm
Number of cones = Volume of cuboid / Volume of cone
=> l×b×h/⅓πr2h
=> 24×11×7 / ⅓×22/7×(3.5)2 ×6
=>24
ans. 24 cones
-Answered by Shruti Srivastva On 26 May 2022:04:05:14 PM
Question 76. Asked on :26 May 2022:03:50:42 PM
Water is flowing at the rate of 5km/hour through a pipe of diameter 14cm into a tank with recatngular base which is 50m long and 44m wide. Find the time in which the level of water tank rises by 7cm.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Volume of raised water in tank = 50×44×7/100 = 154 m3
Volume of water flown in 1 hr = 22/7 × (7/100) × (7/100) × 5000 = 77
Time taken = 154/77 = 2 hours
-Answered by Shruti Srivastva On 26 May 2022:03:57:10 PM
Question 77. Asked on :26 May 2022:03:40:31 PM
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
height of conical heap = 24cm
radius of cylindrical bucket = 18cm
height = 32cm
A.T.Q.,
Volume of conical heap=Volume of cylindrical bucket
=> ⅓πr2 h = πr2h
=> ⅓r2 ×24 = (18)2 ×32
=> r = 36cm
slant height,
l = √(36)2 + (24)2
l = 43.27 cm approx.
-Answered by Shruti Srivastva On 26 May 2022:03:43:24 PM
Question 78. Asked on :26 May 2022:03:30:16 PM
A juice seller was serving his coustomers using glasses having hemispherical bottom.
The inner diameter of the cylindrical glass was 5cm but bottom of the glass had a hemispherical raised portion which reduced the capacity of the glasss. If the height of a glass was 10cm, find the apparent and actual capacity of the glass.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Height of cylindrical part = 10cm
Radius of hemispherical part = 5/2 cm
Apparent capacity = Volume of cylindrical part = πr2h
=> 3.14×(5/2)2 ×10
=> 196.25 cm3
Actual capacity = Volume of cylindrical part - Volume of hemispherical part
=> πr2h - 2/3 ×πr3
=> 196.25 - 2/3 ×3.14 ×(5/2)3
=> 163. 54cm3approx
-Answered by Shruti Srivastva On 26 May 2022:03:33:36 PM
Question 79. Asked on :26 May 2022:03:22:45 PM
A farmer connects a pipe of internal diameter 20cm from a canal into a cylindrical tank in his field which is 10m in diameter and 2m deep.If water flows through pipe at the rate 3km/hr, how much time will the tank be filled?
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Tiime to fill tank = Volume of cylindrical tank / Volume of water flown in 1 hour
=> πr2h/πR2H
=> (5)2 ×2/ (1/10)2 ×3000
=> 100
ans. 100 minutes or 1 hour and 40 minutes
-Answered by Shruti Srivastva On 26 May 2022:03:25:21 PM
Question 80. Asked on :26 May 2022:03:12:56 PM
A cone of height 24cm and radius of base 6cm is made up of modeling clay, A child reshapes it in the form of a sphere. Find the radiusof the sphere and hence find the surface area of the sphere.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Radius of cone = 6cm
Height of cone = 24cm
Volume of sphere = Volume of cone
=> 4/3πr3 = ⅓πr2h
=> 4/3πr3 = ⅓π(6)2 ×24
=> 4/3r3 = 36×8
=> r3 = 36×8 ×3/4
=> r3 = 216
=> r = 3√24
=> r = 6cm
-Answered by Shruti Srivastva On 26 May 2022:03:15:38 PM
Question 81. Asked on :25 May 2022:05:48:51 PM
Two spheres of same metal weight 1 kg and 7 kg. The radius of the smaller sphere is 3cm. The two spheres are melted to form a single big spheres. Find the diameter of the new sphere.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
radius of first sphere = 3cm
Let densiy of metal be d kg/cm3
∴ 4/3π(3)3 ×d =1
Let radius of second sphere be r cm.
∴ 4/3πr×r×r×d =7
From(1) and (2), we have
r3= 7(3)3
Let the radius of new sphere by R cm.
A.T.Q
4/3πR3=4/3π(3)3+4/3πr3
R3=(3)3+7(3)3
R=6cm
∴Diameter of new sphere = 2×6 = 12cm.
-Answered by Shruti Srivastva On 25 May 2022:05:51:46 PM
Question 82. Asked on :25 May 2022:05:41:50 PM
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Cylinder
radius = 3.5 cm
height = 20-3.5-3.5 = 13cm
radius of hemisphere = 3.5cm
Volume of sollid = volume of cylindrical part + 2×Volume of hemispherical part
=> 22/7×(3.5)2 ×13+2×2/3×22/7(3.5)3
=> 4040/6 cm3
-Answered by Shruti Srivastva On 25 May 2022:05:43:51 PM
Question 83. Asked on :25 May 2022:05:35:43 PM
Water in a canal, 6m wide and 1.5m deep, is flowing with a speed of 10 km/hour. How much area will it irrigate in 30 minutes; if 8cm standing water is needed?
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
Length of canal covered in 30 mins = 5000m
b=6m, h=1.5m
Volume of water flown in 30 mins = 6×1.5×5000
Area irrigated = 6×1.5×5000/0.08
= 562500m2
-Answered by Shruti Srivastva On 25 May 2022:05:39:06 PM
Question 84. Asked on :25 May 2022:05:26:14 PM
A petrol tank is a cylinder of bas diameter 28cm and length 24cm fited with conical ends each of axis length 9cm. Determine the capacity of the tank.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Capacity of tank = Volume of cylindrical part + 2×Volume of conical part
=> πr2h + 2×⅓πr2h
=> 22/7 × 142 ×24 + 2 × ⅓ × 22/7 × 142 × 24
=> 18480 cm2
-Answered by Shruti Srivastva On 25 May 2022:05:28:38 PM
Question 85. Asked on :25 May 2022:05:11:27 PM
A cone of radius 8cm and height 12cm is divided into two parts by a plane through the mid-point of its axis parallel to its base. Find the ratio of the volumes of the two parts.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
ΔOAB∼ΔOCD
AB/CD = OA/OC
∴ AB = 4cm
Volume of conical part/Volume of frustum part
=> ⅓π(4)2×6/ ⅓π×6[(8)2+(4)2+8×4]
=> 1/7
Required ratio=1:7 or 7:1
-Answered by Shruti Srivastva On 25 May 2022:05:20:01 PM
Question 86. Asked on :25 May 2022:05:04:41 PM
Find the depth of a cylindrical tank of radius 10.5 cm, if its capacity is equal to that of a rectangular tank of size 15cm × 11cm × 10.5 cm.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
Capacity of cylindrical tank = Capacity of recatngular tank
22/7 × (10.5)2 × h = 15 × 11 × 10.5
h = 5cm
-Answered by Shruti Srivastva On 25 May 2022:05:08:37 PM
Question 87. Asked on :25 May 2022:04:56:38 PM
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes
Answer:
Let the edges of three cubes be 3x cm, 4x cm and 5x cm
Volume of single cube = Sum of volume of three cubes
(side)3= (3x)3+(4x)3+(5x)3
Side = 6x cm
Diagonal of single cule = 12√3 cm
√3(6x) = 12√3
x=2
hence edge of three cubes are 6cm, 8cm and 10 cm
-Answered by Shruti Srivastva On 25 May 2022:05:00:07 PM
Question 88. Asked on :25 May 2022:04:49:22 PM
A bucktet is in the form of a frustum of a cone and hold 28.490 litres of water. The radii of the top and bottom are 28 cm and 21 cm respectively. Find the height of the bucket.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
Volume of bucket = 28490 cm3
=> ⅓πh(r2R2Rr) = 28490
=> ⅓ × 22/7 × h [(28)2+(21)2+28×21] = 28490
=> h=15cm
-Answered by Shruti Srivastva On 25 May 2022:04:53:13 PM
Question 89. Asked on :25 May 2022:04:43:10 PM
The volume of a right circular cylinder with its height equal to the radius is 175/7 cm3. Find the height of the cylinder.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
Volume of cylindr = 176/7 cm3
=> 22/7 x (x)2 × x = 176/7
=> x3=8
=> x=2cm
-Answered by Shruti Srivastva On 25 May 2022:04:45:51 PM
Question 90. Asked on :25 May 2022:04:35:43 PM
The diameters of the two circlar ends of the bucket are 44 cm and 24 cm. The height of the bucket is 35cm. Find the volume of the bucket.
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
=> ⅓ x 22/7 x 35 [(22)2+(12)2+22 x 12]
=> 327062/3 cm3
-Answered by Shruti Srivastva On 25 May 2022:04:39:55 PM
Question 91. Asked on :25 May 2022:04:29:17 PM
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
Volume of 12 spheres = volume of cylinder
12 x 4/3 πr3 = πr2h
12 x 4/3 πr3 = π(1)216
r3 = 1
r = 1 cm
-Answered by Shruti Srivastva On 25 May 2022:04:32:48 PM
Question 92. Asked on :25 May 2022:04:18:31 PM
-Added by Shruti Srivastva Mathematics » Surface Areas And Volumes.
Answer:
volume of 1 cube =s3= 216 cm3
=> s = 3√216
=> 6cm
∴ length, breadth and height are 12cm, 6cm, 6cm respectively
Surface area of cuboid = 2(lb+bh+hl)
=> 2(12 x 6 + 6 x 6 + 6 x 12)
=> 2(72+36+72)
=> 2(180)
=> 360 cm2
-Answered by Shruti Srivastva On 25 May 2022:04:21:19 PM
Question 93. Asked on :25 May 2022:04:08:54 PM
Find the height of largest right circular cone that can be cut out of a cube whosevolume is 729 cm3.
-Added by Shruti Srivastva Mathematics » Surface Ares And Volumes.
Answer:
s3= 729
s =3√729
s = 9 cm
hieght of largest right circular cone is 9 cm.
-Answered by Shruti Srivastva On 25 May 2022:04:13:23 PM
Question 94. Asked on :25 May 2022:04:02:47 PM
How many cubes of side 2 cm canbe cut from a cuboid measuring (16cm x 12cm x 10 cm)?
-Added by Shruti Srivastva Mathematics » Surface Ares And Volumes.
Answer:
side of cuboid = 16 x 12 x 10
volumeof cuboid = l x b x h
=> 16 x 12 x 10
=> 1920 cm3
side of cube = 2cm
volume of cube = s3
=> 23
=> 8 cm3
Number of cubes can be cut from the cuboid = volume of cuboid / volume of cube
=> 1920/8
=> 240
ans. 240 cubes
-Answered by Shruti Srivastva On 25 May 2022:04:05:00 PM
Question 95. Asked on :25 May 2022:03:58:35 PM
If the volume of a cube is 1331 cm3, then find the lenth of its edge.
-Added by Shruti Srivastva Mathematics » Surface Ares And Volumes.
Answer:
Volume of cube = s3=1331
s= 3√1331
s= 11cm
-Answered by Shruti Srivastva On 25 May 2022:04:00:24 PM
Question 96. Asked on :25 May 2022:03:54:03 PM
Find total surface area of a solid hemi-sphere of radius 7cm.
-Added by Shruti Srivastva Mathematics » Surface Ares And Volumes.
Answer:
total surface area of hemisphere = 3πr2
=> 3x22/7x7x7
=> 462 sq. cm
-Answered by Shruti Srivastva On 25 May 2022:03:55:16 PM
Question 97. Asked on :25 May 2022:03:52:38 PM
What cross section is made by a cone when it is cut parallel to its base?
-Added by Shruti Srivastva Mathematics » Surface Ares And Volumes.
Answer:
Circle.
-Answered by Shruti Srivastva On 25 May 2022:03:53:47 PM
Question 98. Asked on :25 May 2022:03:51:27 PM
A solid shape is converted from one form to another. What is the change in its volume?
-Added by Shruti Srivastva Mathematics » Surface Ares And Volumes.
Answer:
The volume will remain same.
-Answered by Shruti Srivastva On 25 May 2022:03:52:20 PM
Question 99. Asked on :25 May 2022:03:34:44 PM
-Added by Shruti Srivastva Mathematics » Surface Ares And Volumes.
Answer:
Surface area of sphere = 4πr2=616cm2
=> 4πr2=616
=> 4x22/7xr2=616
=> r2= 616x7/22x¼
=> r2=49
=> r=√49
=> r=7cm
ans. 7cm
-Answered by Shruti Srivastva On 25 May 2022:03:35:54 PM
Question 100. Asked on :25 May 2022:03:27:09 PM
The next term of the A.P. √8, √18, √32, ____
-Added by Jyoti Srivastva Mathematics » Arithmetic Progressions
Answer:
√50
-Answered by Jyoti Srivastva On 25 May 2022:03:29:33 PM
Question 101. Asked on :24 May 2022:04:40:48 PM
Which one is stronger acid
(a) ph = 5
(b) ph = 2
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
ph = 2
-Answered by Manisha Kumari On 24 May 2022:04:50:59 PM
Question 102. Asked on :24 May 2022:04:38:16 PM
A compound x in aqueous solution turns red liymus solution into blue identify 'x'.
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
hydochloric acid
-Answered by Manisha Kumari On 24 May 2022:04:40:32 PM
Question 103. Asked on :24 May 2022:04:08:23 PM
If roots of 4x2-2x+c=0 are reciprocal of each other them the value of c is ______ .
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
c=4
-Answered by Shruti Srivastva On 24 May 2022:04:21:11 PM
Question 104. Asked on :24 May 2022:04:04:12 PM
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
k will be equal or more the four
-Answered by Shruti Srivastva On 24 May 2022:04:21:52 PM
Question 105. Asked on :24 May 2022:03:57:37 PM
The quadratic equation x2-5x-6=0 i expressed as (x+p)(x+q)=o then value of p and q respectively are ____ and ____ .
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
p=6 q=1
-Answered by Shruti Srivastva On 24 May 2022:04:23:20 PM
Question 106. Asked on :24 May 2022:03:52:33 PM
If px2+qx+r = 0 has equal root then value of r will be____.
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
q2/4p
-Answered by Shruti Srivastva On 24 May 2022:04:23:46 PM
Question 107. Asked on :24 May 2022:03:46:59 PM
The value(s) of k for which the quadratic equation 2x2+kx+2=0 has equal root is
(a) 4
(b) ∓4
(c) -4
(d) 0
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
(b)
-Answered by Shruti Srivastva On 24 May 2022:04:24:28 PM
Question 108. Asked on :24 May 2022:03:41:22 PM
Roots of quadratic equation x2-7x=0 will be
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
0 & 7
-Answered by Shruti Srivastva On 24 May 2022:04:24:52 PM
Question 109. Asked on :24 May 2022:03:42:34 PM
Evaluate: tan 60./cot 25.
-Added by Manisha Kumari Mathematics » Trignometry
Answer:
tan 60./cot 25
=1
-Answered by Shruti Srivastva On 24 May 2022:04:25:17 PM
Question 110. Asked on :24 May 2022:03:39:40 PM
Find the number of terms in the A.P:18,31/2,13,.......,-47.
-Added by Manisha Kumari Mathematics » Arithmetic Progressions
Answer:
-Answered by Shruti Srivastva On 24 May 2022:04:26:04 PM
Question 111. Asked on :24 May 2022:03:37:27 PM
Every quadratic equation have at most
(a) 3 roots
(b) 1 root
(c) 2 roots
(d) any number of roots
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
-Answered by Shruti Srivastva On 24 May 2022:04:26:26 PM
Question 112. Asked on :24 May 2022:03:33:08 PM
Find the value of k which the quadratic kx (x-2) +6=0 has two equal roots.
-Added by Manisha Kumari Mathematics » Quadratic Equations
Answer:
the root is 6
-Answered by Shruti Srivastva On 24 May 2022:04:26:43 PM
Question 113. Asked on :24 May 2022:03:33:53 PM
If 1/2 is a root of x2+px-5/4 =0 then value of p is
(a) 2
(b) -2
(c) 1/4
(d) 1/2
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
(a) 2
-Answered by Shruti Srivastva On 24 May 2022:04:27:28 PM
Question 114. Asked on :24 May 2022:03:29:21 PM
Which of the following equation has 2 as a root:
(a) x2+4=0
(b) x2-4
(c) x2+3x-12=0
(d) 3x2-6x-2=0
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
3x2-6x-2=0 has 2 as a root.
-Answered by Shruti Srivastva On 24 May 2022:04:28:13 PM
Question 115. Asked on :24 May 2022:03:16:32 PM
(a) 2(x-1)2 = 4x2-2x+1
(b) 3x-x2 = x2+6
(c) (√3x+√2) = 2x2-5x
(d) (x2+2x)2 = x4+3+4x2
-Added by Shruti Srivastva Mathematics » Quadratic Equations
Answer:
-Answered by Shruti Srivastva On 24 May 2022:04:28:51 PM
Question 116. Asked on :23 May 2022:05:06:50 PM
Find the sum of all natural numbers that are less than 100 and divisible by 4?
-Added by Manisha Kumari Mathematics » Arithmetic Progressions
Answer:
1200.
-Answered by Shruti Srivastva On 23 May 2022:05:11:32 PM
Question 117. Asked on :23 May 2022:05:03:13 PM
How many irrational numbers lie between √2 and √3?
-Added by Manisha Kumari Mathematics » Real Numbers
Answer:
uncountable
-Answered by Shruti Srivastva On 23 May 2022:05:05:58 PM
Question 118. Asked on :23 May 2022:05:00:44 PM
Find the least positive integer which if diminished by 5 is exactly divisible by 36 and 54
-Added by Manisha Kumari Mathematics » Quadratic Equations
Answer:
113.
-Answered by Shruti Srivastva On 23 May 2022:05:06:16 PM
Question 119. Asked on :23 May 2022:04:58:21 PM
Find the 5th term from the end of the A.P. 10,7,4,......,-65.
-Added by Manisha Kumari Mathematics » Arithmetic Progressions
Answer:
-53.
-Answered by Shruti Srivastva On 23 May 2022:05:06:31 PM
Question 120. Asked on :23 May 2022:04:55:30 PM
Find the sum of 20 terms of the A.P 1,6,11,16.....
-Added by Manisha Kumari Mathematics » Arithmetic Progressions
Answer:
970.
-Answered by Shruti Srivastva On 23 May 2022:05:06:49 PM
Question 121. Asked on :23 May 2022:04:51:57 PM
Solve: x2-8x+16=0.
-Added by Manisha Kumari Mathematics » Quadratic Equations
Answer:
4.
-Answered by Shruti Srivastva On 23 May 2022:05:07:03 PM
Question 122. Asked on :23 May 2022:04:48:49 PM
if 'a' and 'b' are prime numbers, then their LCM is.
-Added by Manisha Kumari Mathematics » Real Numbers
Answer:
(axb)
-Answered by Shruti Srivastva On 23 May 2022:05:07:17 PM
Question 123. Asked on :23 May 2022:04:45:24 PM
the distance of the point (6,-6) from origin is:
-Added by Manisha Kumari Mathematics » Co-ordiante Geometry
Answer:
6√2.
-Answered by Shruti Srivastva On 23 May 2022:05:07:32 PM
Question 124. Asked on :23 May 2022:04:40:05 PM
For what value of k, the following system of equations will be inconsistent
kx+3y = k-3
12x+ky=k
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
K=-6
-Answered by Manisha Kumari On 23 May 2022:04:43:52 PM
Question 125. Asked on :23 May 2022:04:38:44 PM
The difference of two numbers is 66. If one number is four times the other , find the numbers.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
88,22.
-Answered by Manisha Kumari On 23 May 2022:04:41:51 PM
Question 126. Asked on :23 May 2022:04:35:32 PM
Ram is walking along the line joining (1,4) and (0,6)
Rahim is walking along the line joining (3,4) and (1,0)
Represent on graph and find the point where both of them cross each other.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
2,2.
-Answered by Manisha Kumari On 23 May 2022:04:42:23 PM
Question 127. Asked on :23 May 2022:04:32:38 PM
Solve the pair of linear equations by substituting method x-7y+42=0 and x-3y-6=0
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
42,12.
-Answered by Manisha Kumari On 23 May 2022:04:41:07 PM
Question 128. Asked on :23 May 2022:04:27:19 PM
In an A.P. if S21=1250,S20=1200,Find A21
-Added by Manisha Kumari Mathematics » Arithmetic Progressions
Answer:
50
-Answered by Manisha Kumari On 23 May 2022:04:31:51 PM
Question 129. Asked on :23 May 2022:04:28:38 PM
For what value of p the pair of linear equations (p+2)x-(2p+1)y=3(2p-1) and 2x-3y=7 has a unique solution.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
p≠4
-Answered by Shruti Srivastva On 23 May 2022:04:31:11 PM
Question 130. Asked on :23 May 2022:04:21:18 PM
For what value of p the pair of linear equations (p+2)x-(2p+1)y = 3(2p-1) and 2x-3y=7 has a unique solution.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
p≠4.
-Answered by Manisha Kumari On 23 May 2022:04:24:42 PM
Question 131. Asked on :23 May 2022:04:17:28 PM
If we draw lines of x=2 and y=3 what kind of lines do we get?
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
intersecting lines.
-Answered by Manisha Kumari On 23 May 2022:04:21:20 PM
Question 132. Asked on :23 May 2022:04:16:00 PM
What is the value of p, for which the pair of linear equations x+y=3 and 3x+py=9 is inconsistent.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
p=3.
-Answered by Manisha Kumari On 23 May 2022:04:21:45 PM
Question 133. Asked on :23 May 2022:04:11:39 PM
If 2x+5y=4, write another linear equation, so that lines represented by the pair are coincident.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
4x + 10y=8
-Answered by Manisha Kumari On 23 May 2022:04:14:13 PM
Question 134. Asked on :23 May 2022:04:10:12 PM
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
0,0.
-Answered by Manisha Kumari On 23 May 2022:04:11:43 PM
Question 135. Asked on :23 May 2022:04:07:59 PM
Find the value of k for which pair of linear equations 3x+2y=-5and x-ky=2 has a unique solution.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
k≠-2/3.
-Answered by Manisha Kumari On 23 May 2022:04:12:17 PM
Question 136. Asked on :23 May 2022:04:05:33 PM
A motor cyclist is moving along the line x-y=2 and another motor cyclist is moving along the line x-y=4 find out their moving direction.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
Move parallel.
-Answered by Manisha Kumari On 23 May 2022:04:14:57 PM
Question 137. Asked on :23 May 2022:03:56:57 PM
Find the number of natural numbers between 102 and 998 which are divisible by 2 and 5 both.
-Added by Manisha Kumari Mathematics » Arithmetic Progressions
Answer:
89
-Answered by Manisha Kumari On 23 May 2022:04:04:20 PM
Question 138. Asked on :23 May 2022:04:02:57 PM
For what value of p, system of equation 2x+py=8 and x+y=6 have no solution.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
p=2.
-Answered by Manisha Kumari On 23 May 2022:04:15:24 PM
Question 139. Asked on :23 May 2022:04:01:34 PM
What is the point of intersection of the line represented by 3x-2y=6 and the y-axis?
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
0,-3.
-Answered by Manisha Kumari On 23 May 2022:04:15:49 PM
Question 140. Asked on :23 May 2022:03:58:56 PM
If x=3m-1 and y=4 is a solution of the equation x+y=6, then find the value of m.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
m=1.
-Answered by Manisha Kumari On 23 May 2022:04:16:45 PM
Question 141. Asked on :23 May 2022:03:54:09 PM
In ΔABC, ∠C=3∠B, ∠C=2(∠A+∠B) then, ∠A,∠B,∠C are respectively.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
20°, 40º,120º.
-Answered by Manisha Kumari On 24 May 2022:04:18:56 PM
Question 142. Asked on :23 May 2022:03:50:51 PM
If ax+by=c and lx+my=n has unique solution then the relation between the coefficient will be:
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
am≠lb
-Answered by Shruti Srivastva On 23 May 2022:03:53:25 PM
Question 143. Asked on :23 May 2022:03:47:50 PM
If HCF of 144 and 180 is expressed in the form 13m-16. find the value of m.
-Added by Manisha Kumari Mathematics » Real Numbers
Answer:
4.
-Answered by Shruti Srivastva On 23 May 2022:03:53:17 PM
Question 144. Asked on :23 May 2022:03:49:22 PM
One of the common solution of ax+by=c and y axis is
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
(0, c/b)
-Answered by Shruti Srivastva On 23 May 2022:03:50:19 PM
Question 145. Asked on :23 May 2022:03:47:51 PM
For 2x+3y=4, y can be written in terms of x as:
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
y = 4-2x/3
-Answered by Shruti Srivastva On 23 May 2022:03:49:00 PM
Question 146. Asked on :23 May 2022:03:45:09 PM
If the first term of an ap are b,c and 2b, then find the ratio of b and c
-Added by Manisha Kumari Mathematics » Arithmetic Progressions
Answer:
2:3
-Answered by Manisha Kumari On 23 May 2022:03:53:00 PM
Question 147. Asked on :23 May 2022:03:42:35 PM
If a pair of linear equations in two variables is consistent, then the lines represented by two equations are:
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
intersecting or coincident.
-Answered by Manisha Kumari On 23 May 2022:04:17:46 PM
Question 148. Asked on :23 May 2022:03:38:48 PM
If the radii of the two concentric circles are 4cm and 5cm, then find the length of the each chord of one circles which is tangent to the other circle.
-Added by Manisha Kumari Mathematics » Circles
Answer:
6
-Answered by Shruti Srivastva On 23 May 2022:03:46:52 PM
Question 149. Asked on :23 May 2022:03:40:06 PM
The value of k for which the system of equations 3x5y=0 and kx+10y=0 has a non-zero solution is
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
6.
-Answered by Manisha Kumari On 23 May 2022:03:44:11 PM
Question 150. Asked on :23 May 2022:03:36:23 PM
The area of the triangle formed by the lines x=3, y=4 and x=y is
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
1/2 sq. unit
-Answered by Shruti Srivastva On 23 May 2022:03:39:06 PM
Question 151. Asked on :23 May 2022:03:26:20 PM
the distance of the point P(-3,-4) from the x-axis (in unit) is:
-Added by Manisha Kumari Mathematics » Co-ordiante Geometry
Answer:
the unit is 4
-Answered by Shruti Srivastva On 23 May 2022:03:39:51 PM
Question 152. Asked on :23 May 2022:03:31:13 PM
If x=a and y=b is the solution of the equation x-y=2 and x+y=4, then the values of a and b are respectively____.
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
A=3,B=1.
-Answered by Manisha Kumari On 23 May 2022:03:38:03 PM
Question 153. Asked on :23 May 2022:03:19:02 PM
If the lines given by 3x+2ky=2 and 2x +5y = 1 are parallel, then the value of k is:
-Added by Shruti Srivastva Mathematics » Pair Of Linear Equations In Two Variables
Answer:
k = 15/4
-Answered by Shruti Srivastva On 23 May 2022:03:28:16 PM
Question 154. Asked on :23 May 2022:03:15:00 PM
If triangle ABC is right angled at C,then the value of the sec (A+B) is
-Added by Manisha Kumari Mathematics » Trigonometry
Answer:
Not defined
-Answered by Manisha Kumari On 23 May 2022:03:25:30 PM
Question 155. Asked on :20 May 2022:04:28:39 PM
If α and β are zeros of x2-x-2, find a polynomial whose zero are (2α+1) and (2β+1)
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
x2-4x-5
-Answered by Shruti Srivastva On 20 May 2022:04:31:01 PM
Question 156. Asked on :20 May 2022:04:25:30 PM
If zeros of the polynomial ax2+bx-c, a≠0 are additive inverse of each other then what is the value of b?
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
B=0.
-Answered by Manisha Kumari On 20 May 2022:04:28:45 PM
Question 157. Asked on :20 May 2022:04:23:02 PM
Find the value of k such that 3x2+2kx+x-k-5 has the sum of zeroes as half of their of product.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
1.
-Answered by Manisha Kumari On 20 May 2022:04:29:59 PM
Question 158. Asked on :20 May 2022:04:16:17 PM
If x4+2x3+8x2+12x+18 is divided by (x2+5), remainder comes out to be (px+q), find values of k.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
P=2 , Q=3.
-Answered by Manisha Kumari On 20 May 2022:04:25:48 PM
Question 159. Asked on :20 May 2022:04:11:05 PM
If (k+y) is a factor of each of the polynomial y2+2y-15 and y3+a, find the value of k and a.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
k=-3, 5 and a = -27, 125
-Answered by Shruti Srivastva On 20 May 2022:04:13:30 PM
Question 160. Asked on :20 May 2022:04:07:04 PM
What should be added to the polynomial x3-3x2+6x-15, so that it is completely divisible by x-3?
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
On dividing x3-3x2+6x-15 by x-3, remainder is +3, hence -3 must be added to x3-3x2+6x-15.
-Answered by Shruti Srivastva On 20 May 2022:04:09:30 PM
Question 161. Asked on :20 May 2022:04:05:19 PM
If the sum of squares of zeros of the polynomial x2-8x+k is 40, find the value of k.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
12.
-Answered by Manisha Kumari On 20 May 2022:04:08:14 PM
Question 162. Asked on :20 May 2022:04:01:58 PM
If α and β are the zeros of the polynomial x2-5x+m such that α - β = 1, find m.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
6.
-Answered by Manisha Kumari On 20 May 2022:04:07:47 PM
Question 163. Asked on :20 May 2022:03:59:50 PM
If one zero of the quadratic polynomial (k2+k)x2+68k+6k is reciprocal of the other, find k.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
5.
-Answered by Manisha Kumari On 20 May 2022:04:08:36 PM
Question 164. Asked on :20 May 2022:03:58:14 PM
If zeroes of x2-Kx+6 are in the ratio 3:2, find K.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
-5 ,5
-Answered by Manisha Kumari On 20 May 2022:04:08:55 PM
Question 165. Asked on :19 May 2022:05:17:04 PM
If the product of zeroes of ax2-6x-6 is 4, find the value of a. Hence find the sum of its zeroes.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
a = -3/2, sum of zeroes = -4
-Answered by Shruti Srivastva On 19 May 2022:05:19:13 PM
Question 166. Asked on :19 May 2022:05:12:08 PM
For what value of K, x2-4x+K touches x-axis.
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
4.
-Answered by Manisha Kumari On 20 May 2022:04:09:42 PM
Question 167. Asked on :19 May 2022:05:02:33 PM
What will be the number of zeroes of a linear polynomial p(x) if its graph doesnot intersect or touch x-axis at any point?
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
have 0 zero
-Answered by Shruti Srivastva On 19 May 2022:05:03:54 PM
Question 168. Asked on :19 May 2022:04:59:58 PM
What will be the number of zeroes of a linear polynomial p(x) if its graph passes through the origin?
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
Have only 1 zero.
-Answered by Manisha Kumari On 20 May 2022:04:10:37 PM
Question 169. Asked on :19 May 2022:04:56:39 PM
If p(x) = x3-2x2-x+2 = (x+1)(x-2)(x-d) then what is the value of d?
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
1.
-Answered by Manisha Kumari On 20 May 2022:04:12:24 PM
Question 170. Asked on :19 May 2022:04:53:47 PM
If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeroes are coincident. (True/False)
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
True.
-Answered by Manisha Kumari On 20 May 2022:04:14:05 PM
Question 171. Asked on :19 May 2022:04:51:21 PM
If a quadratic polynomial f(x) is not factorizable into linear factors, thenit has no real zero. (True/False)
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
True
-Answered by Shruti Srivastva On 19 May 2022:04:53:34 PM
Question 172. Asked on :19 May 2022:04:49:14 PM
What should be added to the polynomial x2 - 5x + 4,so that 3 is the zero of the resulting polynomial
-Added by Shruti Srivastva Mathematics » Polynomial
Answer:
2
-Answered by Shruti Srivastva On 19 May 2022:04:51:02 PM
Question 173. Asked on :19 May 2022:04:47:14 PM
If the zero of the quadratic polynomial x2 + (a+1)x + b are 2 and -3, then
-Added by Shruti Srivastva Mathematics » Polynomials
Answer:
a=0, b=-6
-Answered by Shruti Srivastva On 19 May 2022:04:48:50 PM
Question 174. Asked on :19 May 2022:04:37:40 PM
If one zero of the polynomial p(x) = 5x2 + 13x + K is reciprocal of the other, then value of K is
-Added by Shruti Srivastva Mathematics » Polynomials
Answer:
5
-Answered by Shruti Srivastva On 19 May 2022:04:44:54 PM
Question 175. Asked on :19 May 2022:04:34:02 PM
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one of the number is 280. Find the other number.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
HCF = 40, LCM = 560
other no. = 80
-Answered by Shruti Srivastva On 19 May 2022:04:35:46 PM
Question 176. Asked on :19 May 2022:04:32:12 PM
If the HCF of 1032 and 408 is expressble in the form 1032 p - 408 x 5, find p.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
P=2.
-Answered by Manisha Kumari On 20 May 2022:04:28:08 PM
Question 177. Asked on :19 May 2022:04:26:08 PM
Find the samllest number which when increased by 20 is exactly divisible by 90 and 144. If we express the smallest number, the LCM, a multiple of 144?
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
[The LCM of 90 and 144 - 20] = Required No.
=> Required No. = 700
If 720 = 144m + 90n then m = 5, n = 0, Yes
-Answered by Shruti Srivastva On 19 May 2022:04:30:12 PM
Question 178. Asked on :19 May 2022:04:22:54 PM
Find the number nearest to 110000 but greater than 1 lakh, which is exactly divisible by 8,15,21.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
109200
-Answered by Shruti Srivastva On 19 May 2022:04:25:52 PM
Question 179. Asked on :19 May 2022:04:15:50 PM
Find the smallest number, which when increasedby17, is exactly devisible by both 520 and 468.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
4663
LCM of 468 and 520 = 4680
Required no. = 4680 - 17 = 4663
-Answered by Shruti Srivastva On 19 May 2022:04:19:45 PM
Question 180. Asked on :19 May 2022:04:14:12 PM
Find the HCF of 56, 96, 324.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
4
-Answered by Shruti Srivastva On 19 May 2022:04:15:41 PM
Question 181. Asked on :19 May 2022:04:10:12 PM
Find HCF and LCM of 404 and 96 and verify that HCF x LCM = Product of two given number.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
HCF of 404 and 96 = 4
LCM of 404 and 96 = 9696
HCF x LCM = 38, 784
Also, 404 x 96 = 38,784
-Answered by Shruti Srivastva On 19 May 2022:04:12:09 PM
Question 182. Asked on :19 May 2022:04:08:01 PM
Find the HCF of 180, 252, and 324.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
36
-Answered by Shruti Srivastva On 19 May 2022:04:10:02 PM
Question 183. Asked on :19 May 2022:04:01:10 PM
Three bell rings at intervals of 9, 12, 15 minutes respectively. If they start ringing together at a time, after how much time will they next ring together?
-Added by Shruti Srivastva Mathematics » Real Number
Answer:
LCM of 9,12,15 is 180
so, after 180 minutes the bell ring together.
-Answered by Shruti Srivastva On 19 May 2022:04:07:11 PM
Question 184. Asked on :19 May 2022:03:56:01 PM
Using Euclid's division algorith, find the largest number that divides 1251, 9377 and 15628 leaving reaminder 1,2 and 3 respectively.
-Added by Shruti Srivastva Mathematics » Real Number
Answer:
1251-1 = 1250, 9377-2 = 9375, 15628-3 = 15625
HCF of 15625 and 9375 = 3125
HCF of 3125 and 1250 + 625
=> HCF of 1250, 9375, 15625 = 625
-Answered by Shruti Srivastva On 19 May 2022:03:58:43 PM
Question 185. Asked on :19 May 2022:03:49:56 PM
The HCF of 65 and 117 is expressible in the form 65m - 117. Find the value of m. Also find the LCM of 65and 117 using prime factorisation method.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
Hcf od 117 and 56 by Euclid divisionalgorith
117= 65x1+52
65= 52x1= 52
52= 13x4 + 0
HCF of 117 and 52 = 13
Given that 65m - 117 = 13 => 65m = 130 => m=2.
LCM of 65 and 117 is 13x32x5 = 585
-Answered by Shruti Srivastva On 19 May 2022:03:52:18 PM
Question 186. Asked on :19 May 2022:03:43:08 PM
Find the largest number that divides 31 and 99 leaving reaminder 5 and 8 respectively.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
given number 31 and 99
31-5=26
99-8=91
prime factor of 26 = 2x13
prime factor of 91 = 7x13
HCF of 26 and 91 is 13
13 is the largest number which divides 31 and 99 leaving reaminder 5 and 8 respectively.
-Answered by Shruti Srivastva On 19 May 2022:03:46:36 PM
Question 187. Asked on :19 May 2022:03:41:24 PM
What can you say about the product of a non-zero rational and irrational?
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
irrational.
-Answered by Manisha Kumari On 20 May 2022:04:15:22 PM
Question 188. Asked on :19 May 2022:03:39:35 PM
What would be the value of n for which n2-1 is divisible by 8.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
An odd integer
-Answered by Shruti Srivastva On 19 May 2022:03:41:01 PM
Question 189. Asked on :19 May 2022:03:37:51 PM
Write the form in which every odd integer can be written taking t as variable:
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
2t+1
-Answered by Shruti Srivastva On 19 May 2022:03:39:20 PM
Question 190. Asked on :19 May 2022:03:35:45 PM
Write the prime factor of 2x7x11x13x17+21
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
7
-Answered by Shruti Srivastva On 19 May 2022:03:37:14 PM
Question 191. Asked on :19 May 2022:03:32:00 PM
If n is a natural number, then 252n-92n is alwaya divisible by:
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
16 or 34
-Answered by Shruti Srivastva On 19 May 2022:03:35:04 PM
Question 192. Asked on :19 May 2022:03:29:10 PM
HCF of 33x54 and 34x52 is.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
33 , 52.
-Answered by Manisha Kumari On 20 May 2022:04:30:44 PM
Question 193. Asked on :19 May 2022:03:25:36 PM
A number N when divided by 16 gives the remainder 5 ______ is the remainder when thesame number isdivided by 8.
-Added by Shruti Srivastva Mathematics » Real Numbers
Answer:
5
-Answered by Shruti Srivastva On 19 May 2022:03:28:55 PM
Question 194. Asked on :24 December 2021:09:33:44 PM
Anil borrowed a certain sum from sunil for 2 years at simple interest.Anil lent this sum to mohit at the same rate for 2 years at compound interest .At the end of 2 years.Anil received ₹110 as compound interest but paid ₹ 100 as simple interest.Find the sum and rate of interest
-Added by Master Mind Mathematics » Simple And Compound Interest
Answer:
Explaination,
S.I and C.I for 1st year will be same
Compound Interest for 2 years = ₹110 (given)
S.I for 2 years = ₹100 (given)
S.I for 1st year = ₹50
C.I for 1st year = ₹50
C.I for 2nd year = ₹110 - ₹50 = ₹60
∴ S.I for 2nd year = ₹60 - ₹50 = ₹10
It means he paid ₹10 as interest on ₹50
S.I = ₹10, P = ₹50, t = 1 year R = ?
R = S.I x 100p x t
= 10 x 10050 x 1
= 20 %
Now, calculating the principle for 2 years
S.I = ₹100, R = 20%, t = 2 yaers
P = S.I x 100R x t
= 100 x 10020 x 2
= 5 x 50
= ₹250
So, Sum amount = ₹250 and rate = 20%
-Answered by Master Mind On 24 December 2021:09:34:47 PM
Question 195. Asked on :29 June 2021:11:08:46 AM
-Added by Master Purushottam Mathematics » Real Numbers
Answer:
Let us assume that √5 is a rational number.
∴ we can write it as √5 = pq
Now we can reduce p and q and we get reduced value of p and q as a and b which are co-prime have no common factor other than 1.
So we have √5 = ab
⇒ √5b = a
⇒ 5b2 = a2 [squaring both sides] ............ (i)
⇒ b2 = a25
5 divides a2 so a is also divisible by 5 (theorem 1.3) ..... (ii)
so 5 is a factor of a.
Now taking a = 5c for some integer c
⇒ 5b2 = (5c)2
⇒ 5b2 = 25 c2
⇒ b2 = 5 c2
⇒ c2 = b25
5 divides b2 so b is also divisible by 5 (theorem 1.3) ...... (iii)
from (ii) and (iii) we get that
a and b are divisible by 5 this implies that 5 is common factor of a and b, while we assume that a and b are co-prime having no common factor other than 1.
This contradiction has risen due to our wrong assumption so √5 cann't be
expressed as pq, Hence √5 is an irrational number.
-Answered by Master Purushottam On 29 June 2021:11:10:35 AM
Question 196. Asked on :24 June 2021:06:26:16 PM
Show that any odd positive integer is of the form 4q + 1 or 4q + 3, where q is some integer.
-Added by Master Mind Mathematics » Real Numbers
Answer:
Let the a is the any odd positive interger
To Show that: a = 4q + 1 or 4q + 3
Using Euclid's division algorithem
a = bq + r
∴ b = 4
so, possible remainder will be 0, 1, 2, 3 ( 0 ≤ r < b)
Hence, a is an odd positive integer therefore remainder will be also odd.
∴ r = 1 or 3
Now expressing a in the form of bq + r
a = 4q + 1 or 4q + 3
Hence proved
-Answered by Master Mind On 24 June 2021:06:28:42 PM
Question 197. Asked on :24 June 2021:06:10:31 PM
If the HCF of 210 and 55 is expressible in the form 210 × 5 + 55y then find y.
-Added by Master Mind Mathematics » Real Numbers
Answer:
210 = 55 × 3 + 45
55 = 45 × 1 + 10
45 = 10 × 4 + 5
10 = 5 × 2 + 0
∴ HCF = 5
Now 210 × 5 + 55y = 5
1050 + 55y = 5
55y = 5 - 1050
55y = - 1045
y = - 104555 = - 19
y = - 19
-Answered by Master Mind On 24 June 2021:06:15:15 PM
Question 198. Asked on :05 March 2021:01:06:35 PM
To buy a house, Ashok paid Rs. 75,750 every month for 12 years. How much money did he pay in all?
-Added by Palak Khazanchi Mathematics » Ways To Multiply And Divide
Answer:
Ashok Paid Rs. = 75,750 Every month
Months in 12 years = 12 × 12
= 144 months
Total amount paid by Ashok = 75,750 × 144
= 10,908,000
Therefore, Ashok paid in 12 years Rs. 10,908,000
-Answered by Master Mind On 09 April 2021:04:48:55 PM
Question 199. Asked on :04 January 2021:08:57:20 PM
If p = 2 - a, then prove that a3 + 6ap + p3 - 8 = 0
-Added by Master Mind Mathematics » Algebra
Question 200. Asked on :05 August 2020:05:56:50 PM
-Added by Shruti Srivastva Mathematics » Algebric Expression
Answer:
-Answered by Shruti Srivastva On 05 August 2020:05:57:19 PM
Question 201. Asked on :05 August 2020:05:55:01 PM
-Added by Shruti Srivastva Mathematics » Algebric Expression
Answer:
(x-y)3 = x3 - y3 - 3xy(x-y)
-Answered by Shruti Srivastva On 05 August 2020:05:55:27 PM
Question 202. Asked on :05 August 2020:05:53:30 PM
-Added by Shruti Srivastva Mathematics » Algebric Expression
Answer:
-Answered by Shruti Srivastva On 05 August 2020:05:54:00 PM
Question 203. Asked on :05 August 2020:05:51:20 PM
-Added by Shruti Srivastva Mathematics » Current Electricity
Answer:
-Answered by Shruti Srivastva On 05 August 2020:05:51:46 PM
Question 204. Asked on :05 August 2020:05:50:02 PM
-Added by Shruti Srivastva Mathematics » Algebric Expression
Answer:
-Answered by Shruti Srivastva On 05 August 2020:05:50:31 PM
Question 205. Asked on :05 August 2020:05:49:05 PM
-Added by Shruti Srivastva Mathematics » Current Electricity
Answer:
(a+b)(a-b) = a2-b2
-Answered by Shruti Srivastva On 05 August 2020:05:49:30 PM
Question 206. Asked on :05 August 2020:05:47:49 PM
-Added by Shruti Srivastva Mathematics » Algebric Expression
Answer:
(a-b)2 = a2 - 2ab + b2
-Answered by Shruti Srivastva On 05 August 2020:05:48:29 PM
Question 207. Asked on :05 August 2020:05:43:22 PM
-Added by Shruti Srivastva Mathematics » Algebric Expression
Answer:
(a+b)2= (a+b)(a+b)
= a(a+b) + b(a+b)
= a2 + ab + ba + b2
= a2 + 2ab + b2
-Answered by Shruti Srivastva On 05 August 2020:05:43:50 PM
Question 208. Asked on :05 August 2020:05:40:52 PM
-Added by Shruti Srivastva Mathematics » Algebric Expression
Answer:
-Answered by Shruti Srivastva On 05 August 2020:05:42:16 PM
Question 209. Asked on :02 June 2020:02:04:49 AM
The next term in the series 2,5,10,17,26,37,? is
-Added by Master Purushottam Mathematics » Series
Answer:
50
-Answered by Shruti Srivastva On 03 June 2020:12:24:19 PM
Question 210. Asked on :25 May 2020:09:59:05 AM
Q-2)The area of a trapezium is 475 cm sq. and the height is 19 cm.Find the lengths of its two parallel sides if one side is 4 cm greater than the other.
-Added by Aman Senapati Mathematics » Herons Formula
Answer:
Given,
Area of trapezium = 1/2 ( sum of // sides ) * H
let the // sides of trapezium are x and x + 4.
475 sq.cm = 1/2 ( x + x + 4) * 19cm.
475/19 = 2x + 42
25 * 2 = 2x + 4
50 - 4 = 2x
46 cm = 2x
46/2 = x
23=x
x + 4 = 23 + 4 = 27.
∴ // sides of trapezium are 23 cm and 27 cm.
-Answered by Aman Senapati On 25 May 2020:10:02:27 AM
Question 211. Asked on :25 May 2020:08:00:22 AM
Q-1)Find the area of trapezium PQRS with height PQ where SP=12cm,SR=13cm,QR=7cm?
-Added by Aman Senapati Mathematics » Herons Formula
Answer:
Given,
let SUR is a triangle and PQUR is a rectangle.
then SU=PS-QR
SU=12m-7m
SU=5m.
By Pythagorous theorm:-
(H sq.)=(P sq.) + (B sq.)
(13m sq.)=(P sq.) + (5m sq.)
169 sq. m=(P sq.) + 25 sq.m
169-25=(P sq.)
144=(P sq.)
√144=P
√12*12=P
12m=P
UR = 12m
According to the property of rectangle ( Opposite side's are equal )
UR=PQ
∴ PQ=12m.
-Answered by Aman Senapati On 25 May 2020:08:46:56 AM
Question 212. Asked on :23 March 2020:07:33:34 AM
Find the remainder when x*x*x+3x*x+3x+1 is divided by x+1?
-Added by Aman Senapati Mathematics » POLYNOMIALS
Question 213. Asked on :23 March 2020:07:27:04 AM
Divide (x*x*x)+1 by x+1
-Added by Aman Senapati Mathematics » POLYNOMIALS
Question 214. Asked on :20 February 2020:08:15:19 PM
In the given figure, we have AB || CD || EF. If AB = 6 cm, CD = x cm, EF = 10 cm, BD = 4 cm and DE = y cm, Calculate the values of x and y.
-Added by Master Mind Mathematics » Triangles
Question 215. Asked on :19 February 2020:11:24:57 AM
If a,b and c are the sides of a right angled triangle where c is the hypotenuse ,then prove that the radius r or the circle which touches the sides of the triangle is given by
r = a + b - c2
-Added by Master Mind Mathematics » Circle
Answer:
-Answered by Master Mind On 19 February 2020:04:27:15 PM
Question 216. Asked on :16 February 2020:03:00:47 PM
If S is the sample space of random experiment then p (S).
-Added by Khushi Chauhan Mathematics » Probablity
Answer:
-Answered by A??k Pal On 17 February 2020:03:01:06 PM
Question 217. Asked on :25 December 2019:10:06:08 PM
-Added by Dhrumil Sheth Mathematics » Ch 12
Answer:
52 cm square.
-Answered by priyanshu kumar On 15 January 2020:11:22:33 AM
Question 218. Asked on :14 December 2019:08:13:05 PM
What is the name of the calender which is based on moon?
-Added by Aman Senapati Mathematics » Star And Solar System
Answer:
lunar calender.
-Answered by Rohit Rajput On 29 December 2019:10:23:39 AM
Question 219. Asked on :16 October 2019:08:07:00 PM
Which is the smallest number which is divisible by 1to10 and remainder is 0?
-Added by Himanshi Verma Mathematics » G.K
Answer:
2520 is the smallest number which is divisible by 1to 10 and remainder is 0.
-Answered by Nishant Verma On 17 October 2019:02:30:51 PM
Question 220. Asked on :10 October 2019:07:06:18 PM
Who is father of trignometry ?
-Added by Aarohi Chauhan Mathematics » Introduction To Trignometry
Answer:
-Answered by priyanshu kumar On 12 October 2019:04:12:31 PM
Question 221. Asked on :07 October 2019:05:01:00 PM
The price of sugar gets decreased by 25% by how much percent can the consumption of sugar be increased in the same expenditures.
-Added by Master Mind Mathematics » Comparing Quantities
Answer:
Step-by-step explanation:
Let the price of rs. 100
and the consumption be 100x
If it's price decreased by 25 %
then new price = 100-(25/100×100)
= 100-25
=75
then at same price ,it's consumption will be 75x
Original consumption = 100x
Net percent increase = 100-75
= 25x
Now , percent increase
=net increase /100×(new consumption)
= 25/100×75
= 18.75 %
-Answered by Rohit Rajput On 24 October 2019:10:15:03 AM
Question 222. Asked on :07 October 2019:11:36:04 AM
Find the value of “x” in the equation 2a2 + 2xa + 5x + 10 if (a + x) is one of its factors.
-Added by Himanshi Verma Mathematics » POLYNOMIALS
Answer:
Let f(a) = 2a2 + 2xa + 5x + 10
As (a + x) is a factor of 2a2 + 2xa + 5x + 10, f(-x) = 0
So, f(-x) = 2x2 – 2x2 – 5x + 10 = 0
Or, -5x + 10 = 0
Thus, x = 2
-Answered by Master Purushottam On 07 October 2019:09:09:32 PM
Question 223. Asked on :07 October 2019:11:34:52 AM
How many zeros does the polynomial (x – 3)2 – 4 can have? Also, find its zeroes.
-Added by Himanshi Verma Mathematics » Polynomials
Answer:
Given equation is (x – 3)2 – 4
Now, expand this equation.
=> x2 + 9 – 6x – 4
= x2 – 6x + 5
As the equation has a degree of 2, the number of zeroes it will have is 2.
Now, solve x2 – 6x + 5 = 0 to get the roots.
So, x2 – x – 5x + 5 = 0
=> x(x-1) -5(x-1) = 0
=> (x-1)(x-5)
So, the roots are 1 and 5.
-Answered by Himanshi Verma On 07 October 2019:11:36:47 AM
Question 224. Asked on :07 October 2019:11:32:08 AM
Find the quadratic polynomial if its zeroes are 0, √5.
-Added by Himanshi Verma Mathematics » Polynomials
Answer:
A quadratic polynomial can be written using the sum and product of its zeroes as:
x2 +(α + β)x + αβ = 0
Where α and β are the roots of the equation.
Here, α = 0 and β = √5
So, the equation will be:
x2 +(0 + √5)x + 0(√5) = 0
Or, x2 + √5x = 0
-Answered by Himanshi Verma On 07 October 2019:11:34:36 AM
Question 225. Asked on :07 October 2019:11:29:31 AM
Find the value of “p” from the equation x2 + 3x + p, if one of the zeroes of the polynomial is 2.
-Added by Himanshi Verma Mathematics » Polynomials
Answer:
As 2 is the zero of the polynomial,
x2 + 3x + p, for x = 2
Now, put x = 2
22 + 3(2) + p = 0
=> 4 + 6 + p = 0
Or, p = -10
-Answered by Himanshi Verma On 07 October 2019:11:30:47 AM
Question 226. Asked on :07 October 2019:11:23:47 AM
-Added by Himanshi Verma Mathematics » Introduction To Trignometry
Answer:
-Answered by Himanshi Verma On 07 October 2019:11:28:21 AM
Question 227. Asked on :07 October 2019:11:16:08 AM
Find the value of (sin°45- cos°45)
-Added by Himanshi Verma Mathematics » Introduction To Trignometry
Answer:
-Answered by Master Purushottam On 07 October 2019:08:49:05 PM
Question 228. Asked on :01 October 2019:06:14:01 PM
what is formula of distance?
-Added by Shivang Gupta Mathematics » Coodinate Geomertry
Answer:
-Answered by priyanshu kumar On 05 October 2019:03:52:57 PM
Question 229. Asked on :30 September 2019:10:14:41 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
4xsquare
-Answered by Nishant Verma On 08 October 2019:09:25:52 AM
Question 230. Asked on :30 September 2019:10:13:16 AM
-Added by Akki chauhan Mathematics » Gk
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:42:01 AM
Question 231. Asked on :30 September 2019:10:12:51 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by Nishant Verma On 08 October 2019:09:26:35 AM
Question 232. Asked on :30 September 2019:10:12:25 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by Nishant Verma On 08 October 2019:09:26:46 AM
Question 233. Asked on :30 September 2019:10:11:22 AM
What is formula of Total surface area of Hemisphere?
-Added by Akki chauhan Mathematics » Formula
Answer:
r2) sq. units.-Answered by Nishant Verma On 08 October 2019:09:26:57 AM
Question 234. Asked on :30 September 2019:10:10:34 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
r2) sq. units.-Answered by Nishant Verma On 08 October 2019:09:27:07 AM
Question 235. Asked on :30 September 2019:10:09:29 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
r2) sq. units.-Answered by Nishant Verma On 08 October 2019:09:27:28 AM
Question 236. Asked on :30 September 2019:10:06:39 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
rl) sq. units.-Answered by priyanshu kumar On 30 September 2019:10:45:03 AM
Question 237. Asked on :30 September 2019:10:06:06 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
r2h
cubic units.-Answered by priyanshu kumar On 30 September 2019:10:45:24 AM
Question 238. Asked on :30 September 2019:10:03:38 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:46:56 AM
Question 239. Asked on :30 September 2019:10:03:01 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:47:09 AM
Question 240. Asked on :30 September 2019:10:02:26 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:47:49 AM
Question 241. Asked on :30 September 2019:10:00:06 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:48:32 AM
Question 242. Asked on :30 September 2019:09:57:29 AM
-Added by Akki chauhan Mathematics » Gk
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:49:12 AM
Question 243. Asked on :30 September 2019:09:57:06 AM
-Added by Akki chauhan Mathematics » STATISTICS
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:49:27 AM
Question 244. Asked on :30 September 2019:09:56:38 AM
-Added by Akki chauhan Mathematics » STATISTICS
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:50:00 AM
Question 245. Asked on :28 September 2019:07:17:58 AM
How it is possible?
999+888+777 = 999
-Added by Rohit Rajput Mathematics » Brain Teaser
Answer:
7+7+8+9+9+9 = 49
8+7+4 = 19. (4 carry)
8+1 = 9. (1 carry)
So, 999+888+777 =999
-Answered by priyanshu kumar On 30 September 2019:11:53:24 AM
Question 246. Asked on :25 September 2019:03:05:35 PM
If 60% 1200 then the value of x
-Added by Sohail alam Mathematics » All Question
Answer:
85%
-Answered by Shivang Gupta On 05 October 2019:03:14:19 PM
Question 247. Asked on :23 September 2019:09:47:39 AM
The two opposite vertices of a square are (-1,2)and (3,2).find the coordinate of the two other vertices.
-Added by Rohit Rajput Mathematics » Cooridinate Triangle
Answer:
Let ABCD be a square and A (–1, 2) and C (3, 2) be the given vertices. Let the coordinates of vertex B be (x, y).
AB = BC (As ABCD is a square)
AB2 = BC2
[x – (–1)] 2 + (y – 2)2 = (x – 3)2 + (y – 2)2
(x + 1)2 = (x – 3)2
x 2 + 2x + 1 = x 2 – 6x + 9
2x + 6x = 9 – 1
8x = 8
x = 1
In ΔABC, we have:
AB2 + BC2 = AC2 (Pythagoras theorem)
2AB2 = AC2 (Since, AB = BC)
2[(x – (–1))2 + (y – 2)2] = (3 – (–1))2 + (2 – 2)2
2[(x + 1)2 + (y – 2)2] = (4)2 + (0)2
2[(1 + 1)2 + (y – 2)2] = 16 (
x = 1)
2[ 4 + (y – 2)2] = 16
8 + 2 (y – 2)2 = 16
2 (y – 2)2 = 16 – 8 = 8
(y – 2)2 = 4
y – 2 = ± 2
y – 2 = 2 or y – 2 = –2
y = 4 or y = 0
Thus, the other two vertices of the square ABCD are (1, 4) and (1, 0).
-Answered by Suraj Kumar On 07 November 2019:08:37:47 AM
Question 248. Asked on :23 September 2019:09:44:14 AM
find the center of circle passing though the points (6,-6),(3,-7)and (3,3).
-Added by Rohit Rajput Mathematics » Cooridinate Triangle
Answer:
let O (x, y) is the point of circle
if three given points A (3,-7) B (3,3) and C (6,-6)-Answered by priyanshu kumar On 02 October 2019:12:31:07 PM
Question 249. Asked on :23 September 2019:09:33:49 AM
find the area of triangle formed by joining the midpoint of the sides of the triangle whose vertices are (0,-1),(0,3)and (0,3). find the ratio of this area of the given triangle.
-Added by Rohit Rajput Mathematics » Cooredinate Geometry
Answer:
Let A(0,-1) , B(2,1) ,C(0,3) are vertices of the
-Answered by priyanshu kumar On 02 October 2019:12:32:50 PM
Question 250. Asked on :07 September 2019:05:10:32 PM
-Added by Reddy cbse Mathematics » NCERT Solutions For Class 10 Maths
Answer:
-Answered by priyanshu kumar On 03 October 2019:01:59:58 PM
Question 251. Asked on :07 September 2019:08:51:52 AM
What is full form of HCF
-Added by Sohail alam Mathematics » Maths
Answer:
-Answered by Akki chauhan On 13 September 2019:09:38:11 AM
Question 252. Asked on :02 September 2019:03:04:03 PM
Q what is the area of square when side is 90cm?
-Added by Shruti Srivastva Mathematics » Maths
Answer:
-Answered by Shruti Srivastva On 02 September 2019:03:06:18 PM
Question 253. Asked on :01 September 2019:12:21:47 PM
Who discovered bacterial transformation?
-Added by Akki chauhan Mathematics » Arithmetic Progressions
Answer:
-Answered by Nishant Verma On 02 September 2019:11:45:39 AM
Question 254. Asked on :01 September 2019:12:20:02 PM
Which term is 78 of A.P 3,8,13,18...................
-Added by Akki chauhan Mathematics » Arithmetic Progressions
Answer:
-Answered by Nishant Verma On 02 September 2019:10:23:45 AM
Question 255. Asked on :30 August 2019:03:52:44 PM
write the formula of C.I.?
-Added by Suman Kumari Mathematics » Maths
Answer:
-Answered by Nishant Verma On 30 August 2019:03:54:16 PM
Question 256. Asked on :30 August 2019:03:12:53 PM
Pythagoras Theorem: In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
-Added by Prince Rawat Mathematics » Triangle
Answer:
-Answered by Nishant Verma On 30 August 2019:03:56:50 PM
Question 257. Asked on :30 August 2019:03:12:00 PM
In two triangles, If the sides of one triangle are proportional to the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similar, also called SSS (side-side-side) criterion.
-Added by Prince Rawat Mathematics » Triangle
Answer:
-Answered by Nishant Verma On 30 August 2019:03:57:22 PM
Question 258. Asked on :30 August 2019:03:11:19 PM
If a line divides any of the two sides of a triangle in the same ratio, then that line is parallel to the third side.
-Added by Prince Rawat Mathematics » Triangle
Answer:
-Answered by Nishant Verma On 30 August 2019:03:57:52 PM
Question 259. Asked on :30 August 2019:03:09:49 PM
To Prove that, If a line is drawn parallel to one side of a Triangle and intersects the other two sides, then the other two sides are divided in the same ratio.
-Added by Prince Rawat Mathematics » Triangles
Answer:
Let a ΔABC in which a line DE parallel to SC intersects AB at D and AC at E.To prove DE divides the two sides in the same ratio.
-Answered by Akki chauhan On 30 August 2019:08:51:32 PM
Question 260. Asked on :28 August 2019:09:45:10 AM
Find the ratio in which the line segment joining A(1,-5) B(6,-8) is divided by the X-Axis. Also find the coordinates of the point of division.
-Added by Akki chauhan Mathematics » Coordinate Geometry
Answer:
If the ratio in which P divides AB is k:1 , then the co-ordinates of the point P will be
-Answered by Akki chauhan On 28 August 2019:09:47:46 AM
Question 261. Asked on :26 August 2019:07:47:56 PM
Find the distance between the following pairs of points:
(i) (2,3),(4,1)
-Added by Akki chauhan Mathematics » Coordinate Geometry
Answer:
(i) Distance between the two points is given by
-Answered by Akki chauhan On 26 August 2019:07:58:00 PM
Question 262. Asked on :25 August 2019:03:25:31 PM
Find the next number in the sequence 6,24,60,120.......
-Added by Akki chauhan Mathematics » Maths
Answer:
336.
-Answered by priyanshu kumar On 20 October 2019:04:14:05 PM
Question 263. Asked on :25 August 2019:03:23:16 PM
Find the next number in the sequence 0,2,24,252......
Please give right answer other wise dont touch this question.
-Added by Akki chauhan Mathematics » Maths
Answer:
-Answered by Shivang Gupta On 25 August 2019:03:38:16 PM
Question 264. Asked on :25 August 2019:10:39:42 AM
(i) A king of a red colour (ii) A face card
(iii) A red face card (iv) The queen of diamonds.
-Added by Harshita Rathore Mathematics » Probability
Answer:
-Answered by Akki chauhan On 27 August 2019:09:27:23 AM
Question 265. Asked on :24 August 2019:09:16:21 PM
Find the sum of the first 25 multiples of 7.
-Added by Prince Rawat Mathematics » Arithmetic Progressions
Answer:
The A.P. : 7, 14, 21, ..............
Now We have to find 7 + 14 + 21 + ........... 25 terms
∴ a = 7, d = 7 n = 25
Sn = n2 {2a + (n - 1)d}
S25 = 252 {2 × 7 + (25 - 1)7}
= 252 {14 + (24)7}
= 252 (14 + 168)
= 252 × 182
= 25 × 91
= 2275 Answer
Hence the sum of first 25 multiple of 7 is 2275.
-Answered by Master Mind On 24 August 2019:11:38:04 PM
Question 266. Asked on :24 August 2019:09:15:05 PM
Find the sum of n terms of A.P. 2+4+6+...... .
-Added by Prince Rawat Mathematics » Arithmetic Progressions
Answer:
Step-by-step explanation:
Let a be the first term and d the common difference
A=2
D=4-2=2
So, 15th term=a+(15-1)*d
=2+(14*2)
2+28
=30
Sum of first 15 term=
n/2(a+an),where n=number
of terms.
=15/2(2+30)
=15/2(32)
=15*16
=240
-Answered by Akki chauhan On 24 August 2019:09:27:13 PM
Question 267. Asked on :24 August 2019:09:11:37 PM
Find the sum of the A.p.1+3+5+7+.....+199.
-Added by Prince Rawat Mathematics » Arithmetic Progressions
Answer:
-Answered by Akki chauhan On 27 August 2019:09:29:28 AM
Question 268. Asked on :24 August 2019:08:27:55 PM
Find the sum of the first 27 multiples of 6 ?
-Added by Gunnaj sheikh Mathematics » Ch 5
Answer:
2268
-Answered by Master Purushottam On 24 August 2019:09:29:41 PM
Question 269. Asked on :21 August 2019:09:36:36 AM
In a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
-Added by Prince Rawat Mathematics » Triangle
Answer:
-Answered by Suraj Kumar On 11 December 2019:08:33:38 AM
Question 270. Asked on :21 August 2019:09:31:44 AM
If a line is drawn parallel to one side of a triangle to intersect the other two sides in point, the other two sides are divided in the same ratio.
-Added by Prince Rawat Mathematics » Triangle
Answer:
.
-Answered by Suraj Kumar On 11 December 2019:08:33:46 AM
Question 271. Asked on :19 August 2019:09:49:02 AM
Who discovered the zero?
-Added by Akki chauhan Mathematics » Number
Answer:
Aryabhatta discovered zero.
-Answered by Akki chauhan On 19 August 2019:09:50:45 AM
Question 272. Asked on :18 August 2019:06:31:17 PM
X-2=7
-Added by Master Purushottam Mathematics » One Variable In Linear Equation
Answer:
X-2=7
X=7+2
X=9
-Answered by Akki chauhan On 18 August 2019:08:35:07 PM
Question 273. Asked on :17 August 2019:05:57:38 PM
Find a quadratic polynomial , The sum and product of whose zeroes are -3 and 2 respectively.
-Added by Khushi Chauhan Mathematics » POLYNOMIALS
Answer:
Let the quadratic polynomial be ax2+bx+c=0 and its zeroes be α and β.
sum of zeroes α+β = -3 = -b/a
product of zeroes αβ = 2= c/a
If a=1 then b=3, c=2
So, the quadratic polynomial is x2+3x+2.
-Answered by Himanshi Verma On 18 August 2019:11:00:35 AM
Question 274. Asked on :17 August 2019:05:50:41 PM
If LM||CB and LN||CD prove that AM/AB =AN/AD.
-Added by Khushi Chauhan Mathematics » Chapter 6
Answer:
By Thales theorem or basic propositionality Theorem
IN∆ABC-Answered by Himanshi Verma On 18 August 2019:10:58:35 AM
Question 275. Asked on :17 August 2019:09:38:34 AM
What is mean , mode and Median?
-Added by Akki chauhan Mathematics » Stastics
Answer:
Mean, Mode, Median are the measurment of central tendency. mean and mode cann't be shown on graph but median can be shown on the graph.
-Answered by Himanshi Verma On 17 August 2019:10:34:55 AM
Question 276. Asked on :17 August 2019:09:27:38 AM
What is the form of Arithmetic Progressions?
-Added by Akki chauhan Mathematics » Arithmetic Progressions
Answer:
The general form of an Arithmetic progression is a, a+1, a+2, a+3.....
-Answered by Himanshi Verma On 17 August 2019:10:41:29 AM
Question 277. Asked on :17 August 2019:09:24:51 AM
-Added by Akki chauhan Mathematics » G.
Answer:
-Answered by Himanshi Verma On 18 August 2019:10:41:56 AM
Question 278. Asked on :17 August 2019:09:22:47 AM
Prove that √2 is irrational?
-Added by Akki chauhan Mathematics » Real Numbers
Answer:
-Answered by Himanshi Verma On 18 August 2019:11:09:55 AM
Question 279. Asked on :22 July 2019:07:46:58 PM
S and T are points on sides PR and QR of ΔPQR such that ∠P= ∠RTS. Show that ΔRPQ∼ΔRTS.
-Added by Himanshi Verma Mathematics » Traingles
Answer:
-Answered by Himanshi Verma On 23 July 2019:07:52:25 PM
Question 280. Asked on :18 July 2019:07:27:12 PM
If a line intersects sides AB and AC of a ΔABC at D and E respectively and is a parallel to BC, prove that AD/AB= AE/AC.
-Added by Himanshi Verma Mathematics » Triangles
Answer:
-Answered by Himanshi Verma On 18 July 2019:09:05:33 PM
Question 281. Asked on :10 July 2019:11:49:11 PM
The first term of an A.P. is 6. The sum of first 6 terms is 66. Find it's 6th term.
-Added by ATP Admin Mathematics » Arithmetic Progressions
Answer:
Given: a1 = 6, S6 = 66
using Formula: Sn = n2 (a + l)
Step by Step Explanation:
S6 = 62 ( 6 + a6)
66 = 3(6 + 6th term)
(6 + 6th term) = 663 = 22
6th term = 22 - 6
6th term = 16 Answer
-Answered by Master Mind On 11 July 2019:09:08:06 PM
Question 282. Asked on :09 July 2019:11:51:22 PM
Solve the equation 6(7b - 4) = 60 for b.
-Added by ATP Admin Mathematics » Algebra
Answer:
Given equation is 6(7b - 4) = 60 Step by Step explanation
7b - 4 = 606
7b - 4 = 10
7b = 10 + 4
7b = 14
b = 147 = 2 Answer
-Answered by ATP Admin On 09 July 2019:11:53:03 PM
Question 283. Asked on :09 July 2019:07:05:00 PM
If the sum of nth terms of an A.P. is given by 4n2 - 7n. Find
(i) Sum of 23 terms
(ii) 15th term
(iii) nth term
-Added by ATP Admin Mathematics » Arithmetic Progressions
Answer:
Given:Sn = 4n2 - 7n
Step by step explanation:
(i) Sum of 23 terms
Sn = 4n2 - 7n ............. (i)
Replace n by 23 we have,
S23 = 4(23)2 - 7(23)
= 4 × 529 - 161
= 2116 - 161
= 1955 Answer
(ii) 15th term
a15 = S15 - S14
S15 = 4(15)2 - 7(15) = 4 × 225 - 105 = 900 - 105 = 795
S14 = 4(14)2 - 7(14) = 4 × 196 - 98 = 784 - 98 = 686
Now, a15 = S15 - S14
= 795 - 686
= 109 Answer
(iii) nth term
an = Sn - Sn-1
Given, Sn = 4n2 - 7n
Replace n by n-1 we have
Sn-1 = 4(n-1)2 - 7(n-1)
= 4(n2 - 2n + 1) - 7n + 7
= 4n2 - 8n + 4 - 7n + 7
= 4n2 - 15n + 11 ............. (ii)
Now Applying equation (i) and (ii) in formula an = Sn - Sn-1
an = (4n2 - 7n) - (4n2 - 15n + 11)
= 4n2 - 7n - 4n2 + 15n - 11
= 8n - 11
Therefore, an = 8n - 11 Answer
*******************************
-Answered by Master Mind On 11 July 2019:09:42:19 PM
Question 284. Asked on :09 July 2019:06:56:05 PM
-Added by ATP Admin Mathematics » Trigonometry
Answer:
Cos
-Answered by Harshita Rathore On 24 August 2019:02:57:10 PM
Question 285. Asked on :09 July 2019:06:53:37 PM
Find the nature of quadratic equation x2 + 3x + 7.
-Added by ATP Admin Mathematics » Quadratic Equations
Answer:
x2+ 3x+7
This equation is of the form of ax2+bx+c=0
so, a=1, b=3, c=7
b2+4ac = 3×3 - 4×1×5
= 9 - 28
= 19
∴ 19 > 0
So, the given equation has two real roots.
-Answered by Himanshi Verma On 18 July 2019:07:35:08 PM
Question 286. Asked on :08 July 2019:10:36:51 PM
x and y are connected parametrically by the equation x = 2at2, y = at4 without eleminating the parameter.
Find dydx .
-Added by ATP Admin Mathematics » Continuity And Differentiability
Answer:
-Answered by Master Purushottam On 08 July 2019:10:58:57 PM
Question 287. Asked on :08 July 2019:09:55:52 PM
In the Given fig. DE ‖ AC and DF ‖AE.
BFFE = BEEC .
-Added by ATP Admin Mathematics » Triangles
Answer:
-Answered by ATP Admin On 08 July 2019:10:45:29 PM
Question 288. Asked on :08 July 2019:04:56:29 PM
Find the sum of the first 40 positive integer divisible by 6.
-Added by Himanshi Verma Mathematics » A.p
Answer:
This is an AP a=6,d=6, and n=40
Using formula,
Sn = n2 [2a+(n-1)d]
S40= 402 [2*6+(40-1)6]
S40=20(12+234)
S40=20*246
S40=4920
-Answered by Akki chauhan On 18 July 2019:10:26:06 AM
Question 289. Asked on :17 June 2019:11:25:45 PM
Show that one and only one out of n, n+2 or n+4 is divisible by 3, where n is any positive integer.
-Added by ATP Admin Mathematics » Real Numbers
Answer:
Solution: Using Euclid's division lemma any positive integer can be written in the form of a = bq + r where r = 0, 1, 2 ...... and q is quotients.
Let the number which is divisible by 3 be 3q + 0 or 3q + 1 or 3q + 2 where [0 <= r < b]
Now n = 3q or n = 3q + 1 or n = 3q + 2
Case I,
When n = 3q .......... (i)
⇒ n = 3(q) where n is divisible by 3
Adding 2 both sides in equ. (i)
We have,
n + 2 = 3q + 2 Where n + 2 is not divisible by 3
Now adding 4 both side in equ. (i)
We have,
n + 4 = 3q + 4 Where n + 4 is not divisible by 3
Case II
Taking n = 3q + 1 ........ (ii) where n is not divisible by 3
Adding 2 both sides in equ. (ii)
We have,
n + 2 = 3q + 1 + 2 = 3q + 3
n + 2 = 3(q + 1) where n + 2 is divisible by 3
Now adding 4 both sides in equ. (ii)
n + 4 = 3q + 1 + 4 = 3q + 5 where n + 4 is not divisible by 3
Case III
taking n = 3q + 2 .... (iii) where n is not divisible by 3
Adding 2 both sides in equ. (iii)
We have,
n + 2 = 3q + 2 + 2 = 3q + 4 where n + 2 is not divisible by 3
Now adding 4 both sides in equ. (iii)
We have,
n + 4 = 3q + 2 + 4 = 3q +6
n + 4 = 3(q + 2) where n + 4 is divisible by 3
Hence in all these three cases we have seen that either one and only one n or n + 2 or n + 4 is divisible by 3.
-Answered by ATP Admin On 17 June 2019:11:28:43 PM
Question 290. Asked on :13 May 2019:10:29:43 AM
-Added by ravi varma Mathematics » Maths
Answer:
The rational numbers between 7 and 9 are 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 90.
-Answered by Himanshi Verma On 14 May 2019:11:11:27 AM
Question 291. Asked on :08 May 2019:10:19:35 AM
-Added by ravi varma Mathematics » Maths
Answer:
2x-1=14-x
2x+x=14+1
3x=15
x=15/3
x=5
-Answered by Jyoti Srivastva On 07 July 2019:10:05:52 PM
Question 292. Asked on :08 May 2019:10:14:22 AM
क्या शुन्य परिमेय संख्या है ?
-Added by Hitesh kumar Mathematics » Mathematics
Answer:
yes zero is a rational number.
-Answered by Himanshi Verma On 14 May 2019:11:23:16 AM
Answer:
4z+3=6+2z
4z-2z=6-3
2z=3
z=3/2
-Answered by Jyoti Srivastva On 07 July 2019:10:11:51 PM
Question 294. Asked on :08 May 2019:09:55:15 AM
-Added by Hitesh kumar Mathematics » Math
Answer:
The rational number are 16, 17.
-Answered by Himanshi Verma On 14 May 2019:11:16:10 AM
Question 295. Asked on :22 April 2019:09:43:52 AM
Why study of density is important for a science student?
-Added by Nitish kumar Mathematics » ORGANISATION IN THE LIVING WORLD
Answer:
Density is important because it affects whether objects will float or sink. It is animportant property to consider when building things like ships and hot air balloons. ... He realized that the amount of water that spilled was equal in volume to the space that his body occupied.
-Answered by rocki kumar On 08 May 2019:08:23:43 AM
Question 296. Asked on :21 April 2019:10:53:53 AM
What is activity series ?
-Added by Nitish kumar Mathematics » Types Of Chemical Reactions
Answer:
Arrangement of metals in order of decreasing reactivities in vertical column is called activity series.
-Answered by Himanshi Verma On 21 April 2019:10:58:07 AM
Question 297. Asked on :21 April 2019:10:51:49 AM
what happens when Mg ribbon is burnt in oxygen?
-Added by Nitish kumar Mathematics » Types Of Chemical Reactions
Answer:
When magnesium ribbon is burnt in oxygen it burns with a dazzling flame and gives a white magnesium oxide.
-Answered by Himanshi Verma On 21 April 2019:10:59:16 AM
Question 298. Asked on :21 April 2019:10:45:16 AM
what is oxidation?
-Added by Nitish kumar Mathematics » Types Of Chemical Reactions
Answer:
The reaction in which addition of oxygen and removal of hydrogen is called oxidation.
-Answered by Himanshi Verma On 21 April 2019:11:03:26 AM
Question 299. Asked on :19 April 2019:08:34:46 AM
Given that HCF (306,657) =9 find LCM (306,657).
-Added by Prince Rawat Mathematics » Real Number
Answer:
9×LCM = 306×657
9×LCM = 201042
LCM = 22338
-Answered by Himanshi Verma On 21 April 2019:10:32:51 AM
Question 300. Asked on :19 April 2019:08:23:46 AM
Check whether the first polynomials is a factors of the second polynomials by dividing the second polynomials by the first polynomials.
-Added by Prince Rawat Mathematics » POLYNOMIALS
Answer:
what is the polynomials.
-Answered by Akki chauhan On 24 August 2019:03:13:10 PM
Question 301. Asked on :19 April 2019:08:21:00 AM
-Added by Prince Rawat Mathematics » Real Number
Answer:
Let us assume that √5 is rational
Then √5 =
(a and b are co primes, with only 1 common factor and b≠0)
⇒ √5 =
(cross multiply)
⇒ a = √5b
⇒ a² = 5b² -------> α
⇒ 5/a²
(by theorem if p divides q then p can also divide q²)
⇒ 5/a ----> 1
⇒ a = 5c
(squaring on both sides)
⇒ a² = 25c² ----> β
From equations α and β
⇒ 5b² = 25c²
⇒ b² = 5c²
⇒ 5/b²
(again by theorem)
⇒ 5/b---> 2
we know that a and b are co-primes having only 1 common factor but from 1 and 2 we can that it is wrong.
This contradiction arises because we assumed that √5 is a rational number
∴ our assumption is wrong
∴ √5 is irrational number.
-Answered by Himanshi Verma On 21 April 2019:11:24:50 AM
Question 302. Asked on :19 April 2019:08:18:18 AM
Check whether 6n can end digit 0 for any nature number n.
-Added by Prince Rawat Mathematics » Real Number
Answer:
prime factors of 6n
= (2*3)n
= 2n*3n
While the number ending with zero have prime factor as 2n*5n
Hence, 6n is not end with zero.
-Answered by Akki chauhan On 28 June 2019:09:30:20 AM
Question 303. Asked on :18 April 2019:08:18:35 AM
Use euclid's division alogrithan to find the HCF of :
(i) 135 and 225 .
-Added by Nitish kumar Mathematics » Real Number
Answer:
Use Euclid division alogrithan
a=bq+r
225=135×1+90
135=90×1+45
90=45×2+0
HCF=45 .
-Answered by Himanshi Verma On 18 April 2019:04:26:31 PM
Question 304. Asked on :31 March 2019:01:14:39 PM
If the side of the square is increased by 50% the ratio of the area of the resulting square is the area of the resulting square to the area of the given square is:
-Added by Master Purushottam Mathematics » Mensuration
Answer:
Suppose, at first the side of the square was a
the area was a^2
now, the side of the square is (a+a★50/100)=a+a/2=3a/2
the area will be, 9a^2/4
so, 9a^2/4-a^2=5a^2/4
we now tell that, after increasing 50%of the side, the area will 5/4 times of the older(a^2).
-Answered by Himanshi Verma On 06 April 2019:06:44:55 PM
Question 305. Asked on :31 March 2019:01:06:03 PM
-Added by Master Purushottam Mathematics » Mensuration
Answer:
-Answered by Himanshi Verma On 06 April 2019:06:46:28 PM
Question 306. Asked on :31 March 2019:12:59:06 PM
If the length and breadth of a rectangle plot are increased by 50% and 20% respectively, then the new area is how many times the original area
-Added by Master Purushottam Mathematics » Mensuration
Answer:
LET THE ORIGINAL LENGTH BE L
AND
ORIGINAL BREATH BE B.
ORIGINAL AREA = LB
LENGTH INCREASED BY 50% = 150 L / 100
BREATH INCREASED BY 20% = 120 B / 100
INCREASED AREA = 150 L X 120 B / 100 X 100
= 18000 LB / 10000
= 1.8 LB
NOW,
1.8 LB / LB = 1.8
CHANGING 1.8 INTO FRACTION.
1.8 = 18/10 = 9/5
SO,
THE INCREASED AREA WILL BE 9/5 TIMES OF THE ORIGINAL AREA.
-Answered by Hitesh kumar On 13 April 2019:08:31:51 AM
Question 307. Asked on :31 March 2019:12:53:32 PM
The length of diagonal of the square whose area is 16900m2 is:
-Added by Master Purushottam Mathematics » Mensuration
Answer:
so let us first consider a square with area x² unit²
so the side is of length √x² = x unit
so square has angles of 90° so using Pythagoras we get the length of the diagonal as =
√2x
so for this problem the area is 16900 m² so length of the side is √16900 = 130 m
so the length of the diagonal is √2 x 130 m = 130√2 m ≈ 183.82 m ANSWER
-Answered by Himanshi Verma On 06 April 2019:06:51:54 PM
Question 308. Asked on :31 March 2019:12:49:03 PM
The perimeter of the rectangle field is 480m and the ratio between the length and breadth is 5 : 3. the area of the field in square meters is :
-Added by Master Purushottam Mathematics » Mensuration
Answer:
The perimeter is given by twice the sum of length and breadth.
The length and breadth are on ratio 5:3.Let the common ratio be x.-Answered by Himanshi Verma On 06 April 2019:06:53:50 PM
Question 309. Asked on :31 March 2019:12:34:26 PM
A child walk 5m to cross a rectangular field diagonally, if breadth of the field in 3m, its length is:
-Added by Master Purushottam Mathematics » Mensuration
Answer:
-Answered by Himanshi Verma On 06 April 2019:06:43:16 PM
Question 310. Asked on :29 March 2019:04:53:40 PM
Use Euclid’s division algorithm to find the HCF of :
(i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255
-Added by Rohit rajput Mathematics » Real Numbers
Answer:
(i)135 and 225
a = 225, b = 135 {Greatest number is ‘a’ and smallest number is ‘b’}
Using Euclid’s division algorithm
a = bq + r (then)
225 = 135 ×1 + 90
135 = 90 ×1 + 45
90 = 45 × 2 + 0 {when we get r=0, our computing get stopped}
b = 45 {b is HCF}
Hence: HCF = 45
(ii)196 and 38220
a = 38220, b = 196 {Greatest number is ‘a’ and smallest number is ‘b’}
Using Euclid’s division algorithm
a = bq + r (then)
38220= 196 ×195 + 0 {when we get r=0, our computing get stopped}
b = 196 {b is HCF}
Hence: HCF = 196
(iii)867 and 255
a = 867, b = 255 {Greatest number is ‘a’ and smallest number is ‘b’}
Using Euclid’s division algorithm
a = bq + r (then)
38220= 196 ×195 + 0 {when we get r=0, our computing get stopped}
b = 196 {b is HCF}
Hence: HCF = 196
-Answered by Himanshi Verma On 29 March 2019:04:55:16 PM
Question 311. Asked on :09 March 2019:01:54:23 PM
कैल्सीफिरोल किस विटामिन का रासायनिक नाम है ?
-Added by Rohit rajput Mathematics » G.k
Answer:
Vitamin D.
-Answered by Himanshi Verma On 23 March 2019:05:59:38 PM
Question 312. Asked on :01 March 2019:04:06:17 PM
Find the value of k for which one root of the quadratic equation kx2-14x+8=0 is 2.
-Added by Harshita Rathore Mathematics » G.k
Answer:
Since 2 is one root of the quadratic equation,
We substitute X=2
k(2)^2 - 14(2) +8= 0
4k-28+8=0
4k-20=0
4k=20
k=5
-Answered by Himanshi Verma On 10 March 2019:04:48:03 PM
Question 313. Asked on :01 March 2019:03:26:35 PM
How to prove Pythagorus theorem .
-Added by Akki chauhan Mathematics » Maths
Answer:
ABC is a right angle triangle at B and BD is a perpendicular from B on to AC, the diagonal.
Triangles ABC and BDC are similar, as:
. angle DBC = 90 - angle C = angle A
. angle ABC = angle BDC = 90
Ratios of corresponding sides are equal.
AB / BD = BC / DC = AC / BC
So we get BC² = AC * DC --- (1)
Triangle ABC amd ADB are similar, as:
. angle DBA = 90 - (90 - C) = angle C
. angle ABC = 90 = angle ADB
so ratios of corresponding sides are equal
AB / AD = BC / BD = AC / AB
So we get AB² = AD * AC --- (2)
Add (1) and (2) to get:
AB² + BC² = AC * ( AD + DC) = AC * AC = AC²
So the theorem is proved.
-Answered by Himanshi Verma On 01 March 2019:03:38:26 PM
Question 314. Asked on :01 March 2019:03:15:18 PM
-Added by Akki chauhan Mathematics » Algebra
Answer:
-Answered by Shalu Shukla On 01 March 2019:03:47:38 PM
Answer:
Please give your question
-Answered by Akki chauhan On 27 August 2019:09:42:31 AM
Question 316. Asked on :13 February 2019:10:06:57 AM
Find the value of X
-Added by Akki chauhan Mathematics » Circles
Answer:
-Answered by Akki chauhan On 15 September 2019:11:03:28 AM
Question 317. Asked on :09 February 2019:04:37:21 PM
In the following figure, D and E are two points on BC such that BD = DE = EC. Show that ar (ABD) = ar (ADE) = ar (AEC). Can you answer the question that you have left in the ’Introduction’ of this chapter, whether the field of Budhia has been actually divided into three parts of equal area?
-Added by Harshita Rathore Mathematics » Areas Of Pallelograms And Triangles
Answer:
Let us draw a line segment AM ⊥ BC.
We know that,
Area of a triangle = 1/2 x Base x Altitude
It is given that DE = BD = EC.
⊥ Area (ΔADE) = Area (ΔABD) = Area (ΔAEC)
It can be observed that Budhia has divided her field into 3 equal parts.
-Answered by Himanshi Verma On 09 February 2019:04:40:18 PM
Question 318. Asked on :09 February 2019:04:31:17 PM
What is the range of the probability of an event.
-Added by Harshita Rathore Mathematics » Probability
Answer:
If an event is impossible its probability is zero. Similarly, if an event is certain to occur, its probability is one. The probability of any event lies in between these values. It is called the range of probability and is denoted as 0 ≤ P (E) ≤ 1.
-Answered by Himanshi Verma On 09 February 2019:04:32:27 PM
Question 319. Asked on :09 February 2019:04:27:51 PM
Water is placed in a cylindrical vessel of 14cm radius. If a spherical ball of radius 7cm is dropped in the vessel completely. How much water will rise to the height of the cylindrical vessel?
-Added by Himanshi Verma Mathematics » Volume
Answer:
बेलन के पानी का आयतन = गोले का आयतन
πr2h = 4/3 πr3
14×14×h = 4\3×7×7×7
h = 4/3 × 343/196
h = 7/3cm
-Answered by Shalu Shukla On 11 February 2019:05:45:38 PM
Question 320. Asked on :09 February 2019:03:02:25 PM
In the following,find the area of the shaded portains:
-Added by Himanshi Verma Mathematics » Chapter 11.4
Answer:
What is shade portion
-Answered by Akki chauhan On 27 August 2019:09:43:11 AM
Question 321. Asked on :07 February 2019:09:36:04 AM
-Added by SURAJ KUMAR Mathematics » Trignometry
Question 322. Asked on :06 February 2019:04:16:04 PM
DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD .If the area of parallelogram is 1470cm2 , AB =35cm and AD=49 cm ,find the length of BM and DL.
-Added by Himanshi Verma Mathematics » Chapter 11 Perimeter And Area
Answer:
Considering AB = Base;
Area = Base x Height
⇒ 1470 cm2 = AB x DL
⇒ 1470 cm2 = 35cm x DL
Or, DL = 1470 ÷ 35 = 42 cm
Now considering AD = Base;
Area = Base x Height
⇒ 1470 cm2 = AD x BM
⇒ 1470 cm2 = 49 cm x BM
Or, BM = 1470 ÷ 49 = 30 cm
Hence, DL = 42 cm and BM = 30 cm
-Answered by Himanshi Verma On 09 February 2019:04:21:59 PM
Question 323. Asked on :05 February 2019:05:27:35 PM
-Added by Himanshi Verma Mathematics » G.k
Answer:
8 8 8
8 8
8
8
+ 8
= 1000
-Answered by Himanshi Verma On 05 February 2019:05:36:22 PM
Question 324. Asked on :05 February 2019:05:12:59 PM
If x = , what is the value of
-Added by Harshita Rathore Mathematics » Number System
Question 325. Asked on :05 February 2019:05:11:52 PM
-Added by Himanshi Verma Mathematics » Perimeter And Area
Answer:
Given
Ratio of side =3:2
Perimeter =60cm
Altitude =5cm
So let take one side as 3x and other is 2x
Then perimeter of parallelogram
=3x+2x+3x+2x
=10x
According to question perimeter =60cm
Then
10x=60cm
X=60/10=6cm
Then one side is =6 x 3=18
And other is =2x6=12
So base=18cm
Area of parallelogram =bxh
=18x5=90cm²
Altitude corresponding to smaller side
90=12xh
H=7.5cm
-Answered by Himanshi Verma On 05 February 2019:05:26:39 PM
Question 326. Asked on :05 February 2019:09:14:22 AM
Which is the largest chord in circle.
-Added by Akki chauhan Mathematics » Circles
Answer:
Diameter is the greatest chord of circle.
-Answered by Himanshi Verma On 05 February 2019:04:58:06 PM
Question 327. Asked on :03 February 2019:05:07:16 PM
Prove that :- 777+888+999=999
-Added by Himanshi Verma Mathematics » Addition
Answer:
9+8+8+7+7=39,
9+9+8+3=29,
7+2=9
We write last nine of the three solution so, we get 777+888+999=999
Hence, proved.
-Answered by Nishant Verma On 03 February 2019:05:23:34 PM
Question 328. Asked on :03 February 2019:05:02:10 PM
Prove that :- 777+888+999=999
-Added by Shalu Shukla Mathematics » Addition
Answer:
9+8+8+7+7=39,
9+9+8+3=29,
7+2=9
We write last nine of the three solution so, we get 777+888+999=999
Hence, proved.
-Answered by Himanshi Verma On 05 February 2019:04:51:38 PM
Question 329. Asked on :30 January 2019:02:19:19 PM
Why is the area of circle is πr2?
-Added by Himanshi Verma Mathematics » Circle
Answer:
The usual definition of pi is the ratio of the circumference of a circle to its diameter, so that the circumference of a circle is pi times the diameter, or 2 pi times the radius. ... This give a geometric justification that the area of a circle really is "pi r squared".
-Answered by Himanshi Verma On 02 February 2019:01:33:01 PM
Question 330. Asked on :28 January 2019:11:33:19 AM
tanA+secA-1/tanA+secA+1=cosA/1-sinA .
Proove that.
-Added by SURAJ KUMAR Mathematics » Trignometry
Answer:
(secA+tanA-(sec^2 A - tan ^2A)) )/tanA-secA+1) as sec^2 A= 1 + tan ^2 A so 1= sec^2 A - tan ^2 A
= (sec A + tan A - (sec A + tan A) ( sec A - tan A)) / ( tanA-secA+1)
= ( sec A + tan A ) ( 1- (sec A - tan A)/ ( tanA-secA+1)
= (sec A + tan A)/(+ tan A - sec A)/(tan A- sec A+ 1)
= (sec A + tan A)
= 1/cos A + sin A/ cos A
= (1+ sin A)/ cos A
= (1 + sin A )(1- sin A)/(cos A (1- sin A))
= (1- sin ^2 A/(cos A (1- sin A))
= cos ^2 A / (cos A (1- sin A))
= cos A /(1- sin A)
proved
-Answered by Himanshi Verma On 02 February 2019:01:40:14 PM
Answer:
Please give question
-Answered by Akki chauhan On 30 August 2019:08:52:40 PM
Question 332. Asked on :28 January 2019:10:53:52 AM
A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. find the area of the garden in hectare.
-Added by praful kumar Mathematics » Perimeter And Area
Answer:
Length (l) of garden = 90 m
Breadth (b) of garden = 75 m
Area of garden = l × b = 90 × 75 = 6750 m2
From the figure, it can be observed that the new length and breadth of the garden, when path is also included, are 100m and 85m respectively.
Area of the garden including the path = 100 × 85 = 8500 m2
Area of path = Area of the garden including the path − Area of garden
= 8500 − 6750 = 1750 m2
1 hectare = 10000 m2
Therefore, area of garden in hectare
=6750/10000
=0.675
-Answered by Himanshi Verma On 02 February 2019:01:49:33 PM
Question 333. Asked on :28 January 2019:10:49:14 AM
Find the area of a square park whose perimeter is 320m.
-Added by praful kumar Mathematics » Perimeter And Area
Answer:
A=6400m2
-Answered by Himanshi Verma On 03 February 2019:04:19:42 PM
Question 334. Asked on :27 January 2019:11:08:39 AM
(4-k)x2+(2k+4)x+(8k+1)=0.
k=?
एक पुर्ण वर्ग है ?
-Added by SURAJ KUMAR Mathematics » POLYNOMIALS
Answer:
The given quadratic will be a perfect square if it has two real and equal roots. To have two real and equal roots the discriminant must be zero.
i.e., b²-4ac=0
or, (2k+4)²-4(4-k)(8k+1)=0
or, 4k²+16k+16-4(32k-8k²+4-k)=0
o², 4k²+16k+16-128k+32k²-16+4k=0
or, 36k²-108k=0
or, 36k(k-3)=0
either 36k=0
or, k=0
or, k-3=0
or, k=3
∴, k=0,3 Ans.
-Answered by Himanshi Verma On 02 February 2019:01:43:20 PM
Question 335. Asked on :27 January 2019:10:59:13 AM
abx2+(b2ac)x-bc=0.सरल करे|
-Added by SURAJ KUMAR Mathematics » POLYNOMIALS
Answer:
Consider, abx +(b-ac)x-bc = 0
⇒ abx + bx – acx – bc = 0⇒ bx (ax + b) – c(ax + b) = 0⇒ (ax + b)(bx – c) = 0-Answered by Himanshi Verma On 02 February 2019:01:44:13 PM
Question 336. Asked on :27 January 2019:10:54:59 AM
ax2+4ax+(a2-b2)=0
-Added by SURAJ KUMAR Mathematics » POLYNOMIALS
Answer:
-Answered by priyanshu kumar On 09 October 2019:11:29:56 AM
Question 337. Asked on :27 January 2019:10:51:05 AM
1/a+b+x=1/a+1/b+1/x,a+b not equal 0.सरल करे |
-Added by SURAJ KUMAR Mathematics » POLYNOMIALS
Answer:
ON solving the above equation we have a quadratic equation
(a+b)x^2+(a+b)^2x+ab(a+b)
on solving the above equation by formula -b+root over(b^2-4ac) and -b-root over(b^2-4ac)
we got -a and -b as roots.
According to me this is much easier then others when compared.
-Answered by Himanshi Verma On 10 March 2019:04:49:29 PM
Answer:
what is your question
-Answered by Akki chauhan On 30 August 2019:08:53:43 PM
Question 339. Asked on :27 January 2019:10:19:50 AM
1,2,3 ,...,33,34,35 में 7 का गुणज आने
-Added by praful kumar Mathematics » Prayikta
Answer:
-Answered by priyanshu kumar On 10 November 2019:03:37:25 PM
Question 340. Asked on :21 January 2019:10:00:50 AM
__+__+__=30 (use this number and solve question, you also reapet this number )
[1,3,5,7,9,11,13,15,]
-Added by Akki chauhan Mathematics » G.k
Answer:
: (11 + 9) + (3) + (7) = 30
ANOTHER: (13 + 15) + (1) + (1) = 30
OR: (7 + 9) + (1) + (13) = 30
-Answered by Himanshi Verma On 21 January 2019:04:52:39 PM
Question 341. Asked on :20 January 2019:10:13:42 AM
cotΦ-1/sinΦ=1
-Added by Rohit Rajput Mathematics » Maths
Answer:
Cscϕ/secϕ = (1+cotϕ)/(1+tanϕ)
LHS = (1+cotϕ)/(1+tanϕ)
where cotϕ=cosϕ/sinϕ and tanϕ = sinϕ/cosϕ
= (1+(cosϕ/sinϕ))/(1+(sinϕ/cosϕ))
= ((cosϕ+sinϕ)/sinϕ)/((cosϕ+sinϕ)/cosϕ)
= cosϕ/sinϕ
wkt cosϕ=1/secϕ
and sinϕ=1/cosecϕ
= cscϕ/secϕ
LHS = RHS
Hence Proved
-Answered by Master Purushottam On 24 August 2019:12:17:05 AM
Question 342. Asked on :19 January 2019:10:22:48 AM
On tossing a coin 1000 times head comes 425 times find the probability of getting a tails in this event.
-Added by Prince Rawat Mathematics » STATISTICS
Answer:
Total no. of times tossing a coin= 1000
no. of head comes= 425
no. of tail comes= 1000-425= 575
probability p(e)= 575/1000
-Answered by Master Purushottam On 24 August 2019:12:18:13 AM
Question 343. Asked on :19 January 2019:10:07:46 AM
Three spheres having radii 2 cm ,3 cm and 5 cm are melted together to from a single find the radius of the new sphere.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
Let three spheres are S1, S2 & S3
having radii r₁ = 3cm, r₂ = 4cm & r₃ = 5cm respectively.
Let the radius of new Big sphere S is R.
A/Q,
Volume of new Sphere S = Sum of volumes three Spheres S1, S2 & S3
⇒ 4/3πR³ = 4/3π(r₁)³ + 4/3π(r₂)³+4/3π(r₃)³
⇒ 4/3πR³ = 4(r₁³ +r₂³ + r₃³)/3π
⇒ R³ = r₁³ +r₂³ + r₃³
⇒ R³ = 3³ +4³ + 5³ = 27 + 64 + 125
⇒ R³ = 216
⇒ R = ∛216
⇒ R = 6cm
Therefore radius of new Sphere is 6 cm.
-Answered by Master Purushottam On 24 August 2019:12:18:19 AM
Question 344. Asked on :19 January 2019:10:05:05 AM
The slant height of a cone is 10 cm and its base radius is 8 cm find total surface area of the cone.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
slant height of cone is : 10
Radius of the base is : 8 cm
Total surface area of cone is : πr(l+r)
227 ×8(10+8)
227 ×144
= 452.57
-Answered by Master Purushottam On 24 August 2019:12:15:34 AM
Question 345. Asked on :18 January 2019:05:21:24 PM
Write the formula of cylinder open from the top ?
-Added by khushi chauhan Mathematics » Maths
Answer:
Total surface area= 2πr(r+h) -πr2
curved surface area = 2πrh+πr2
-Answered by Master Purushottam On 24 August 2019:12:15:48 AM
Question 346. Asked on :17 January 2019:05:34:31 PM
ग्राफ में आमने सामने की भुजाओ को समान्तर बताने के लिए सूत्र लिखो?
-Added by Sumitra Mahajan Mathematics » G.k
Answer:
vb
-Answered by Master Purushottam On 24 August 2019:12:14:15 AM
Question 347. Asked on :17 January 2019:08:47:48 AM
path 1m wide built along the border and inside a square garden of side 30m. find ;
[i] The area of the path.
[ii] the cost of planting grass in the remaining portion of the garden at the rate of Rs.40 per m2
-Added by Nitish kumar Mathematics » Perimeter And Area
Answer:
Let ABCD, the square garden of side= 30 m.
PQRS is the region inside the garden.
so,
PQ = (30 -1-1 ) = 28 m
also
PS = ( 30 – 1 – 1 ) = 28 m
(i) Area of the path = Area of ABCD – Area of PQRS
= [( 30 x 30) – (28 x 28)]
= 900 – 784
= 116 sq.m
(ii) Area of the remaining portion in which the grass is planted = Area of square PQRS
= 28 x 28
= 784 sq.m
cost of planting the grass in the region PQRS = area x cost = 764 x 40
=31,360
-Answered by Master Purushottam On 24 August 2019:12:14:42 AM
Question 348. Asked on :16 January 2019:06:13:49 PM
An integer that is divisible by 2 is called ?
-Added by Shalu Shukla Mathematics » G.k
Answer:
-Answered by Master Purushottam On 24 August 2019:12:15:00 AM
Question 349. Asked on :16 January 2019:06:14:35 PM
Counting number are kept under _______ number.
-Added by Himanshi Verma Mathematics » G.k
Answer:
-Answered by Master Purushottam On 24 August 2019:12:15:06 AM
Question 350. Asked on :16 January 2019:05:34:22 PM
(a2-b2)3+(b2-c2)3+(c2-a2)3(a-b)3+(b-c)3+(c-a)3Simplify this Equation:
-Added by Shalu Shukla Mathematics » Ch-2
Answer:
We know,
---> if a + b + c = 0 ; a³ + b³ + c³ = 3abc
We observe,
( a² - b² ) + ( b² - c² ) + ( c² - a² ) = 0
=> ( a² - b² )³ + ( b² - c² )³ + ( c² - a² )³ = 3( a² - b² )( b² - c² )( c² - a² )
Similarly,
( a - b ) + ( b - c ) + ( c - a ) = 0
=> ( a - b )³ + ( b - c )³ + ( c - a )³ = 3( a - b )( b - c )( c - a )
Now, [ ( a² - b² )³ + ( b² - c² )³ + ( c² - a² )³ ] / [ ( a - b )³ + ( b - c )³ + ( c - a )³ ]
== 3( a² - b² )( b² - c² )( c² - a² ) / 3( a - b )( b - c )( c - a )
-Answered by Master Purushottam On 24 August 2019:12:09:53 AM
Question 351. Asked on :16 January 2019:05:39:35 PM
Among the following which natural numbers had no Prodecessor?
-Added by Himanshi Verma Mathematics » G.k
Answer:
2
-Answered by Master Purushottam On 24 August 2019:12:11:09 AM
Question 352. Asked on :16 January 2019:05:34:43 PM
How many digits are there in Hindu Arabic System?
-Added by Himanshi Verma Mathematics » G.k
Answer:
-Answered by Master Purushottam On 24 August 2019:12:11:22 AM
Question 353. Asked on :15 January 2019:09:48:55 AM
The lateral surface area of a cube is 256cm2. Find its volume.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
Lateral Surface Area of cube=256 cm²
4(side)² =256-Answered by Master Purushottam On 24 August 2019:12:03:45 AM
Question 354. Asked on :15 January 2019:09:31:00 AM
The length, breadth and height of room are 5m, 4m and 3m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of s. 7.50perm2.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
l=5m b=4m h=3m
The total area of cuboid = 2(lb+bh+hl)+l×b
= 2(5×4+4×3+3×5)+5×4
= 2(20+12+15)+20
= 2(47) +20
= 94+20
= 114m2
The cost of white washing the wall and the ceiling of the room = 7.50 per m2
The cost of 114m2 of the walls and ceiling of the room= (7.50×114)Rs
= 855.00Rs.
-Answered by Master Purushottam On 24 August 2019:12:04:01 AM
Question 355. Asked on :15 January 2019:09:27:40 AM
Find the ratio of total surface area of sphere and a hemisphere of same radius.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
The total surface area of hemisphere= 3πr2
The ratio of total surface area of sphere and hemisphere= 4πr2/3πr2
= 4:3
-Answered by Master Purushottam On 24 August 2019:12:04:08 AM
Question 356. Asked on :15 January 2019:09:24:30 AM
The total surface area of a cube is 150sq. cm. Find the perimeter of any one of its faces.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
Total surface area of cube is 150sq. cm
Total surface area of cube : 6a2
To find perimeter of its one faces : ?
Total surface area of cube =150sq.cm
6a2 =150sq.cm
= 1506
= 25cm
=a2 = √25cm
=a = 5 cm
Perimeter of its one face is = 4 × a
= 4 × 5 cm
= 20 cm Answer
-Answered by Master Purushottam On 24 August 2019:12:01:30 AM
Question 357. Asked on :15 January 2019:09:20:19 AM
The surface area of the cuboid is 1372 sq. cm. If its dimensions are in the ratio of 4:2:1. Then find length.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
The surface area of the cuboid= 1372 sq. cm
Let the dimensions =4x, 2x, 1x
The total surface area of the cuboid = 2(lb+bh+hl)=1372
= 2(4x × 2x + 2x × 1x + 4x × 1x )=1372
=2(8x2+2x2+4x2) =1372
=2(14x2)= 1372
=28x2=1372
= x2=1372/28
= 49
x=7m
the dimensions are 4x=4×7=28m
2x=2×7=14m
1x=1×7=7m
-Answered by Master Purushottam On 24 August 2019:12:01:38 AM
Question 358. Asked on :14 January 2019:10:35:56 AM
The ratio of height of two cylinder is 5:3 as well as the ratio of their radii is 2:3. find the ratio of the volume of the cylinder.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
Let the radii be 2x and 3x,
let the height be 5y and 3y.
so, ratio of volume =r²h/R²H =(2x)²×5y/(3x)²×3y =20x²y/27x²y =20/27,
The ratio is = 20:27
-Answered by Master Purushottam On 23 August 2019:11:57:01 PM
Question 359. Asked on :13 January 2019:05:13:09 PM
show that if sum of the two angles of a triangles is equal to the third angle is right triangle.
-Added by khushi chauhan Mathematics » Lines And Angles
Answer:
Let the first and second angle be a and b respectively
-Answered by Master Purushottam On 23 August 2019:11:41:59 PM
Question 360. Asked on :13 January 2019:04:58:17 PM
In a ΔABC, ∠A+∠B=125º And ∠B+∠C=150º. Find all the angles of ΔABC.
-Added by Himanshi Verma Mathematics » Lines And Angles
Question 361. Asked on :13 January 2019:01:13:28 PM
Find the median of11,12,2x+2,3x,21,23 where x is the mean of 5,10,3.
-Added by Akki chauhan Mathematics » Probability
Answer:
We know,
if the number of observation (n) is even
then,
1. first of all find the value at the position
2. and find the value at the position
3. now find the average of two value to get the median .
e.g.,
Given, 11, 12, 14, 18, (x + 2), (x + 4) , 30, 32 , 35 , 41 are in ascending order .
number of terms = 10 {even}
so, median = {(n/2)th + (n/2 + 1) th }/2
24 = (5th + 6th)/2
24 = {(x + 2) + (x + 4)}/2
24 = (x + 3)
x = 21
hence, x = 21
-Answered by Master Purushottam On 23 August 2019:11:36:15 PM
Question 362. Asked on :13 January 2019:12:42:04 PM
Fill in the blanks :
(i) The probability of an impossible event is .............
(ii) The probability of happening of a possible event is always lies between ........... and...........
(iii) On tossing a coin, We get a total of ............. outcomes.
-Added by Akki chauhan Mathematics » Probability
Answer:
Ans 1. Zero(0)
Ans 2. 0 and 1
Ans 3. 2
-Answered by Master Purushottam On 23 August 2019:11:36:37 PM
Question 363. Asked on :13 January 2019:12:13:10 PM
If the ratio of altitude and area of the parallelogrm is 2:1 then find the length of the base of parallelogram.
-Added by Himanshi Verma Mathematics » Areas Of Parallelogram And Triangles
Answer:
The area of a parallelogram is the "base" times the "height." Each base has its own height, but the area will be the same whichever base you choose.
-Answered by Akki chauhan On 30 August 2019:08:55:18 PM
Question 364. Asked on :13 January 2019:11:53:09 AM
A bag contain slips bearing from 1-89. A slip is drawn at random from the bag. Find the probability that the slip drawn has:
(a) A number written on it such that sum of its digit is 11.
(b) A number greater than 63 written on it.
-Added by Akki chauhan Mathematics » Probability
Answer:
Let 'x' be the number of boys and 'y' be the number of girls.
To find the total marks
The total marks of boys = 42x
The total marks of girls = 45y
Total number of boys and girls = x + y
To find the ratio
The total marks of boys and girls = 44(x + y)
Then we can write
44(x + y) = 42x + 45y
44x + 44y = 42x + 45y
2x = y
x/y = 1/2
Therefore the ratio of the number of boys to the number of girls is 1:2
-Answered by Master Purushottam On 23 August 2019:11:37:23 PM
Question 365. Asked on :13 January 2019:11:49:45 AM
In a class test, the mean marks of boys and girls are respectively 42 and 45. If the mean marks of boys and girls are 44, Find the ratio of the number of boys to the number of girls.
-Added by Akki chauhan Mathematics » Statistics
Answer:
Let 'x' be the number of boys and 'y' be the number of girls.
To find the total marks
The total marks of boys = 42x
The total marks of girls = 45y
Total number of boys and girls = x + y
To find the ratio
The total marks of boys and girls = 44(x + y)
Then we can write
44(x + y) = 42x + 45y
44x + 44y = 42x + 45y
2x = y
x/y = 1/2
Therefore the ratio of the number of boys to the number of girls is 1:2
-Answered by Master Purushottam On 23 August 2019:11:37:42 PM
Question 366. Asked on :13 January 2019:11:44:06 AM
THe slant height of cone is 10 cm and its base radius is 8 cm. Find the total surface area of cone.
-Added by Akki chauhan Mathematics » Surface Ares And Volumes.
Answer:
l=10cm r=8cm
The total surface area of cone=πr(l+r)
=22/7×8(10+8)
=22/7×8(18)
=22/7×144
=3168/7cm
-Answered by Master Purushottam On 23 August 2019:11:37:53 PM
Question 367. Asked on :13 January 2019:11:37:50 AM
Find the volume of hemisphere whose radius is
32 cm.
-Added by Akki chauhan Mathematics » Surface Ares And Volumes.
Answer:
r= 32
Volume of hemisphere= 23 πr3
= 23 ×22/7×3/2×3/2×3/2
= 7.071
-Answered by Master Purushottam On 23 August 2019:11:33:27 PM
Question 368. Asked on :13 January 2019:11:15:32 AM
Define concentric circles.
-Added by Akki chauhan Mathematics » Circles
Answer:
-Answered by Master Purushottam On 23 August 2019:11:34:12 PM
Question 369. Asked on :12 January 2019:05:55:36 PM
add √125 + 2√27 and -5√5 - √3
-Added by khushi chauhan Mathematics » Number System
Answer:
√125 +2√27 +(-5√5 -√3)
=√5×5×5 +2√3×3×3 -5√5 -√3
=5√5 +6√3 -5√5 -√3
=5√3
-Answered by Akki chauhan On 15 January 2019:09:05:29 AM
Question 370. Asked on :12 January 2019:05:54:25 PM
Rationalise the denominator = 1√3+√5+√7
-Added by Himanshi Verma Mathematics » Number System
Answer:
-Answered by priyanshu kumar On 17 February 2020:02:57:05 PM
Question 371. Asked on :12 January 2019:05:52:26 PM
prove that the cyclic parallelogram is rectangle.
-Added by khushi chauhan Mathematics » Circles
Answer:
∠A + ∠C = 180 ....1
But ∠A = ∠C
So ∠A = ∠C = 90
Again
∠B + ∠D = 180 ....2
But ∠B = ∠D
So ∠B = ∠D = 90
Now each angle of parallelogram ABCD is 90.
Hense ABCD is a rectangle
-Answered by Akki chauhan On 15 January 2019:09:05:05 AM
Question 372. Asked on :12 January 2019:10:52:27 AM
Find the zero of 2x-5.
-Added by Akki chauhan Mathematics » Number System
Answer:
2x-5=0
2x=5
x= 5/2
-Answered by Master Purushottam On 22 August 2019:09:11:57 PM
Question 373. Asked on :12 January 2019:10:49:51 AM
Factorise:
x3-23x2+142x-120
-Added by Akki chauhan Mathematics » Polynomials
Answer:
x3 -23x2+142x-120
=x3-x2-22x2+22x+120-120
=x2(x-1)-22x(x-1)+120(x-1)
=(x-1)(x2-22x+120)
=(x-1)(x2-12x-10x+120)
=(x-1)[x(x-12)-10(x-12)]
=(x-1)(x-10)(x-12)
-Answered by Shivang Gupta On 25 August 2019:05:08:24 PM
Question 374. Asked on :12 January 2019:10:45:37 AM
If the polynomials ax3+3x2-13 and 2x3-5x+a , are divided by x+2 if the remainder in each case is the same, then find the value of 'a'
-Added by Akki chauhan Mathematics » Polynomials
Answer:
When p(x) is divided by (x-2),
By remainder theorem,
Remainder= p(2)
p(2)=a*2^3 + 3*2^2 - 13
=a*8+3*4-13
=8a+12-13 = 8a-1
p(2) = 2*2^3-5*2+a
=2*8-10+a
=16-10+a = 6+a
Since the remainders of ax^3+3x^2-13 and 2x^3-5x+a are same when divided by x-2,
8a-1 = 6+a
8a-6+a=1
8a+8=1-6=-5
8a=-5-8 =-13
a=-13/8
-Answered by Shivang Gupta On 25 August 2019:05:08:54 PM
Question 375. Asked on :12 January 2019:10:38:50 AM
If a = 9-4√5, then find the value of
a2 + 1a2
-Added by Akki chauhan Mathematics » Polynomials
Answer:
(a+1/a)2=a2+1/a2+2
a2+1/a2=(a+1/a)2-2→ I
Now,
a=9-4root5
1/a=1/9-4root5
=(1/9-4root5)×9+4root5/9+4root5
=(9+4root5)
a+1/a=9-4root5+9+4root5
=81
Now,
a2+1/a2=(a+1/a)2-2 →(from I)
=(81)2-2
=6561-2
=6559
-Answered by Nishant Verma On 17 October 2019:02:43:54 PM
Question 376. Asked on :11 January 2019:02:55:18 PM
Find the median of first 10 prime numbers.
-Added by Prince Rawat Mathematics » STATISTICS
Answer:
The first 10 prime numbers are : 2,3,5,7,11,13,17,19,23 and 29.
n=10
Median if n is even numbers
n2 th term = 5th term = 11
n2 + 1 = 5 + 1 = 6th term = 13
Median = 5th term + 6th term2
Median = 11 + 132
= 242 = 12 Answer
-Answered by Shivang Gupta On 25 August 2019:03:29:06 PM
Question 377. Asked on :11 January 2019:10:18:43 AM
Define frequency of the observation.
-Added by Prince Rawat Mathematics » STATISTICS
Answer:
-Answered by Nishant Verma On 17 October 2019:02:42:20 PM
Question 378. Asked on :11 January 2019:10:10:33 AM
The volume of sphere is 310.4 cm3. Find its radius.
-Added by Prince Rawat Mathematics » SURFACE AREAS AND VOLUMES
Answer:
volume of the sphere = 43 πr3= 310.4cm3
4/3×22/7×r3=310.4
88/21×r3= 310.4
r3= 310.4×21/88
= 6518.4/88
r3 = 74.0727272cm
-Answered by Shivang Gupta On 25 August 2019:03:29:31 PM
Question 379. Asked on :11 January 2019:10:04:29 AM
What is Degree of the Polynomials?
-Added by Prince Rawat Mathematics » POLYNOMIALS
Answer:
-Answered by Nishant Verma On 17 October 2019:02:42:40 PM
Question 380. Asked on :09 January 2019:09:54:18 AM
Prove that if the chords are equal then the subtend angle at the center are equal?
-Added by Master Purushottam Mathematics » Circles
Answer:
Given : In a circle C(O,r) , ∠AOB = ∠COD
To Prove : Chord AB = Chord CD .
Proof : In △AOB and △COD
AO = CO [radii of same circle]
BO = DO [radii of same circle]
∠AOB = ∠COD [given]
⇒ △AOB ≅ △COD [by SAS congruence axiom]
⇒ Chord AB = Chord CD [c.p.c
-Answered by Rahul Kumar On 13 October 2019:10:01:29 AM
Question 381. Asked on :09 January 2019:09:37:10 AM
Ques.1. prove that 2+2= 5
-Added by Master Purushottam Mathematics » Number System
Answer:
Start with: -20 = -20
Which is the same as: 16-36 = 25-45-Answered by Nishant Verma On 13 October 2019:09:38:52 AM
Question 382. Asked on :09 January 2019:09:36:20 AM
-Added by Master Purushottam Mathematics » Number System
Answer:
-Answered by Nishant Verma On 17 October 2019:02:37:10 PM
Question 383. Asked on :07 January 2019:02:34:53 PM
Q. simplify combining like terms
(1) 21b - 32 +7b - 20b-Added by Master Purushottam Mathematics » Algebra Expression
Answer:
21b - 32 + 7b - 20b
=(21b+7b -20b) - 32
=8b - 32 Answer
-Answered by Nishant Verma On 17 October 2019:02:37:18 PM
Question 384. Asked on :07 January 2019:02:26:38 PM
Find the sum : 3p2q2 - 4pq + 5, - 10p2q2, 15 + 9pq + 7p2q2
-Added by Master Purushottam Mathematics » Algebra Expreesion
Answer:
3p2q2 - 4pq + 5 + (-10p2q2) + 15 + 9pq + 7p2q2
= 3p2q2 + 7p2q2 - 10p2q2 + 9pq - 4pq + 5 + 15
= 10p2q2 - 10p2q2 + 5pq + 20
= 5pq + 20
-Answered by Nishant Verma On 17 October 2019:02:37:38 PM
Question 385. Asked on :07 January 2019:02:17:56 PM
Putting x = 2 (i) In x + 4, we get the value of x + 4, i.e., x + 4 = 2 + 4 = 6
-Added by Master Purushottam Mathematics » Algebra Expreesion
Answer:
( x + 1/x)² = x² + 1/x² + 2
=> 2² = x² + 1/x² + 2
=> x² + 1/x² = 4–2 = 2 . . . . . . . .(1)
(x - 1/x)² = x² + 1/x² -2
=> ( x-1/x)² = 2 - 2 = 0
=> (x-1/x) = 0 . . . . . . . . . .(2)
Now, x^4 - 1/x^4 = ( x² + 1/x²) ( x² - 1/x²)
= 2 ( x + 1/x) ( x-1/x)
= 2 * 2 * 0 ( by (1) & (2)
= > x^4 - 1/x^4 = 0
-Answered by Akki chauhan On 05 September 2019:08:41:17 PM
Question 386. Asked on :07 January 2019:02:16:52 PM
If a = 2, b = -2, find the value of a2 + b2.
-Added by Master Purushottam Mathematics » Algebra Expreesion
Answer:
=4
The value of b2= (-22) = 4
a2+b2= 4+4
= 8
-Answered by Nishant Verma On 17 October 2019:02:38:02 PM
Question 387. Asked on :07 January 2019:02:15:12 PM
. Simplify the expressions and find the value if x is equal to 2
(i) x + 7 + 4 (x – 5)
-Added by Master Purushottam Mathematics » Algebra Expreesion
Answer:
x+7+4(x-5)=2
x+7+4x-20=2
5x-13=2
5x=2+13
5x=15
x=3
So, The value of x is 3.
-Answered by Nishant Verma On 17 October 2019:02:38:41 PM
Question 388. Asked on :07 January 2019:02:14:21 PM
simplify the expression and find its value when a = 5 and b = -3.
2(a2 + ab) + 3 - ab
-Added by Master Purushottam Mathematics » Algebra Expreesion
Answer:
a=5, b=-3
2(52+5×(-3))+3-5×(-3)
2(25+(-15))+3+15
2(25-15)+18
2×10+18
20+18
38
-Answered by Master Purushottam On 22 August 2019:08:55:23 PM
Question 389. Asked on :07 January 2019:02:07:12 PM
Q1. 3a - 2b - ab - (a-b+ab)+ 3ab +b - a
-Added by Master Purushottam Mathematics » Algebra
Answer:
3a-2b-ab-(a-b+ab)+3ab+b-a
-Answered by Nishant Verma On 17 October 2019:02:39:08 PM
Question 390. Asked on :07 January 2019:12:03:07 PM
What is mean?
-Added by ATP Admin Mathematics » Mean
Answer:
-Answered by Nishant Verma On 17 October 2019:02:39:17 PM
Question 391. Asked on :31 December 2018:02:20:01 PM
factorise x2 + 2x + 1
-Added by ATP Admin Mathematics » Factorisation
Answer:
x2 + 2x + 1
= x2 + x + x + 1
= x(x + 1) + 1(x + 1)
= (x + 1) (x + 1)
-Answered by Nishant Verma On 17 October 2019:02:40:08 PM
Question 392. Asked on :31 December 2018:09:20:26 AM
-Added by ATP Admin Mathematics » Mean Median
Answer:
For finding the value of x first we find mean of 5, 10, 3
sum of observation = 5 + 10 + 3 = 18
mean = 18 / 3 = 6
Therefore, x = 6
Now we have data for median 11, 12, 14, 18, 21, 23
n = 6 { n is an even number}
n/2 th trem = 14
and (n/2 + 1)th trem = 18
Median = (14 + 18)/2 = 32/ 2 = 16 Answer
-Answered by priyanshu kumar On 03 November 2019:03:15:43 PM
Question 393. Asked on :29 December 2018:01:00:20 AM
-Added by ATP Admin Mathematics » Arithmetic Progressions
Answer:
S7 = 7/2(2a + 6d)
=> 49 = 7a + 21d
=> 7 = a + 3d ------------ (i)
S17 = 17/2 (2a + 16d)
=> 289 = 17a + 136
=> 17 = a + 8d -------------- (ii)
Substracting equation (i) from (ii)
we have ...
17 - 7 = a - a + 8d - 3d
10 = 5d
d = 10/5
d = 2
Putting the value in Equation (i)
7 = a + 3d
7 = a + 3 x 2
a = 7 - 6
a = 1
Sum of first n terms = n/2 [2a + (n - 1) d]
= n/2 [2x 1 + (n - 1)2]
= n/2 [2 + 2n - 2 ]
= n/2 (2n)
= nxn = n2
-Answered by Harshita Rathore On 26 August 2019:03:25:54 PM
Question 394. Asked on :28 December 2018:11:00:50 PM
-Added by ATP Admin Mathematics » Arithmetic Progressions
Answer:
A.p= 9,17,25
a=9
d=17-9
=8
Sum of n terms=n÷2[2a+(n-1)d
636=n÷2[2(9)+(n-1)8]
636=n÷2[18+8n-8]
636=n÷2[10+8n]
1272=10n+8n^2
8n^2+10n-1272=0
2[4n^2+5n-636]=0
4n^2+5n-636=0
4n^2+53n-48n-636=0
n(4n+53)-12(4n+53)=0
(n-12)(4n+53)=0
n-12=0
n=12
12 terms must be given to sum of 636
-Answered by Master Purushottam On 22 August 2019:08:54:23 PM
You can see here all the solutions of this question by various user for NCERT Solutions. We hope this try will help you in your study and performance.
This Solution may be usefull for your practice and CBSE Exams or All label exams of secondory examination. These solutions or answers are user based solution which may be or not may be by expert but you have to use this at your own understanding of your syllabus.
Our Expert Team reply with answer soon.
Ask Your Question
* Now You can earn points on every asked question and Answer by you. This points make you a valuable user on this forum. This facility is only available for registered user and educators.
Next moment you answer is ready .... go ahead ...
User Earned Point: Select
Sponsers link