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

5

6

4

7

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

1 : 5

5 : 1

3 : 10

10 : 3

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

1564

792

924

2924

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

a

b

c

d

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

4th

4th and 5th

5th

6th

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

2x + 3y + z = 14

2x – 3y + z = 14

2x + 3y – z = 14

2x – 3y – z = 14

The greatest integer which divides the number 101100-1 is

100

1000

10000

100000

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

8x - 5y – 11z + 8 = 0

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

8x + 5y – 11z + 8 = 0

8x – 5y + 11z – 8 = 0

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

0

1

1024

(1.003)4 are approximately equal to

1.012

0.988

1.988

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

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

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

13

a = 4, b= 1

a = 1, b= 4

a = 0, b= 4

a = 2, b= 4

14

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

8

2

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

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

l x + m y + n z = 1

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

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

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

3x + 4y – 5z + 11 = 0

3x + 4y – 5z = 11

6x + 8y – 10z = 1

3x + 4y – 5z = 2

Which of the following are not compound statements?

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.

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

30o

60o

45o

90o

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

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