Maths

Question 1

Question

If in the expansion of (1+x)n, coefficient of 2nd , 3rd and 4th terms are in A.P., then n =

Answer

Question 2

Question

ratio in which the plane x – 2y + 3z = 17 divides the line joining the points (2, - 4, 7) and (3, - 5, 8) is

Answer

1 : 5
5 : 1
3 : 10
10 : 3

Question 3

Question

If the sum of co-efficients in the expansion of (a+b) n is 4096, then the greatest co-efficient in the expansion is

Answer

1564
792
924
2924

Question 4

Question

If the projection of a line segment on x, y and z axes are respectively 3, 4and 5, then the length of the line segment is

Answer

Question 5

Question

The greatest term in the expansion of (3+2x)^9,when x = 1 is

Answer

4th
4th and 5th
5th
6th

Question 6

Question

If the axes are rectangular and P is the point (2, 3, -1), then the equation of the plane through P at right angles to OP is

Answer

2x + 3y + z = 14
2x – 3y + z = 14
2x + 3y – z = 14
2x – 3y – z = 14

Question 7

Question

The greatest integer which divides the number 101100-1 is

Answer

100
1000
10000
100000

Question 8

Question

The equation of the plane through (1, 1, 1) and passing through the line of intersection of the planes x + 2y – z + 1 = 0 and 3x – y – 4z + 3 = 0 is

Answer

8x - 5y – 11z + 8 = 0
8x + 5y + 11z + 8 = 0
8x + 5y – 11z + 8 = 0
8x – 5y + 11z – 8 = 0

Question 9

Question

The sum of the co-efficients in the expansion of (1-x)10 is

Answer

0
1
100
1024

Question 10

Question

(1.003)4 are approximately equal to

Answer

1
1.012
0.988
1.988

Question 11

Question

The contrapositive of the statement “If 7 is greater than 5, then 8 is greater than 6” is

Answer

If 8 is greater than 6, then 7 is greater than 5
If 8 is not greater than 6, then 7 is greater than
If 8 is not greater than 6, then 7 is not greater than 5
If 8 is greater than 6, then 7 is not greater than 5

Question 12

Question

Vector equation of the line 6x – 2 = 3y + 1 = 2z – 2 is

Answer

Question 13

Question

Image:

1 (binary/octet-stream)

Answer

a = 4, b= 1
a = 1, b= 4
a = 0, b= 4
a = 2, b= 4

Question 14

Question

Image:

14 (binary/octet-stream)

Answer

Question 15

Question

How many lines through the origin make equal angles with the co-ordinate axes?

Answer

Question 16

Question

The equation of the plane passing through the point (1, 2, 3), the direction cosines to the normal of which are l, m, n is

Answer

l x + m y + n z = l + 2 m + 3 n
b

Image:
16b (binary/octet-stream)
l x + m y + n z = 1
d

Image:
16d (binary/octet-stream)

Question 17

Question

The negation of the proposition “If 2 is prime then 3 is not odd” is

Answer

2 is prime and 3 is not odd
If 2 is not prime then 3 is not odd
If 2 is not prime then 3 is odd
2 is prime then 3 is odd

Question 18

Question

The equation of the plane passing through the point (1, - 1, 2) and parallel to the plane 3x + 4y – 5z = 0 is

Answer

3x + 4y – 5z + 11 = 0
3x + 4y – 5z = 11
6x + 8y – 10z = 1
3x + 4y – 5z = 2

Question 19

Question

Which of the following are not compound statements?

Answer

It is raining or the sun is shining.
2 is both an even number and a prime.
Ram and Rahim are friends.
9 is neither an odd number nor prime.

Question 20

Question

The angle between the planes 2x – y + z = 6 and x + y + 2z = 7 is

Answer

Question 21

Question

The converse of the statement “If x > y then x + a > y + a” is

Answer

If x < y then x + a < y + a
If x + a > y + a then x > y
If x > y then x + a < y + a
If x < y then x + a > y + a

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	Created by raghu Katagall over 6 years ago