x3 + y3 +z3 - 3xyz = (x + y + z)(x2 + y2 + z2 - xy - yz- zx)
-Answered by Shruti Srivastva On 05 August 2020:05:57:19 PM
Question 1. 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 2. 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 3. 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 4. 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 5. 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 6. 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 7. 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 8. 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 9. 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 10. 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 11. 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 12. 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 13. 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 14. 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 15. Asked on :23 March 2020:07:27:04 AM
Divide (x*x*x)+1 by x+1
-Added by Aman Senapati Mathematics » POLYNOMIALS
Question 16. 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 17. 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 18. 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 19. 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 20. 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 21. 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 22. 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 23. 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 24. 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 25. 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 26. 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 27. 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 28. 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 29. 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 30. 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 31. 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 32. 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 33. 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 34. 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 35. 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:
-Answered by Nishant Verma On 08 October 2019:09:26:57 AM
Question 36. Asked on :30 September 2019:10:10:34 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by Nishant Verma On 08 October 2019:09:27:07 AM
Question 37. Asked on :30 September 2019:10:09:29 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by Nishant Verma On 08 October 2019:09:27:28 AM
Question 38. Asked on :30 September 2019:10:06:39 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:45:03 AM
Question 39. Asked on :30 September 2019:10:06:06 AM
-Added by Akki chauhan Mathematics » Formula
Answer:
-Answered by priyanshu kumar On 30 September 2019:10:45:24 AM
Question 40. 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 41. 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 42. 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 43. 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 44. 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 45. 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 46. 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 47. 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 48. 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 49. 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 50. 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 51. 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 52. 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 53. 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 54. 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 55. 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 56. 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 57. 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 58. 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 59. 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 60. 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 61. 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 62. 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 63. 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 64. 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 65. 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 66. 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 67. 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 68. 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 69. 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 70. 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 71. 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 72. 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 73. 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 74. 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 75. 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 76. 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 77. 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 78. 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 79. 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 80. 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 81. 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 82. 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 83. 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 84. 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 85. 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 86. Asked on :09 July 2019:06:56:05 PM
Prove the identity:
-Added by ATP Admin Mathematics » Trigonometry
Answer:
Cos
-Answered by Harshita Rathore On 24 August 2019:02:57:10 PM
Question 87. 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 88. 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 89. 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 90. 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 91. 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 92. 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 93. 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 94. 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 96. 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 97. 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 98. 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 99. 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 100. 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 101. 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 102. 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 103. 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 104. 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 105. 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 106. 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 107. 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 108. 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 109. 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 110. 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 111. 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 112. 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 113. 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 114. 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 115. 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 116. 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 118. 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 119. 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 120. 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 121. 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 122. 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 123. Asked on :07 February 2019:09:36:04 AM
-Added by SURAJ KUMAR Mathematics » Trignometry
Question 124. 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 125. 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 126. Asked on :05 February 2019:05:12:59 PM
If x = , what is the value of
-Added by Harshita Rathore Mathematics » Number System
Question 127. 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 128. 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 129. 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 130. 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 131. 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 132. 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 134. 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 135. 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 136. 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 137. 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 138. 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 139. 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 141. 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 142. 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 143. 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 144. 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 145. 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 146. 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 147. 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 148. 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 149. 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 150. 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 151. 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 152. 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 153. 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 154. 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 155. 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 156. 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 157. 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 158. 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 159. 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 160. 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 161. 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 162. 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 163. 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 164. 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 165. 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 166. 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 167. 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 168. 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 169. 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 170. 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 171. 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 172. 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 173. 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 174. 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 175. 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 176. 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 177. 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 178. 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 179. 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 180. 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 181. 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 182. 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 183. 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 184. 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 185. 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 186. 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 187. 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 188. 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 189. 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 190. 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 191. 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 192. 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 193. 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 194. 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 195. 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 196. 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
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