Question 1
Question
If in the expansion of (1+x)n, coefficient of 2nd , 3rd and 4th terms are in A.P., then n =
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 coefficients in the expansion of (a+b) n is 4096, then the greatest coefficient in the expansion is
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
Question 5
Question
The greatest term in the expansion of (3+2x)^9,when x = 1 is
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 1011001 is
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 coefficients in the expansion of (1x)10 is
Question 10
Question
(1.003)4 are approximately equal to
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
Question 13
Answer

a = 4, b= 1

a = 1, b= 4

a = 0, b= 4

a = 2, b= 4
Question 14
Question 15
Question
How many lines through the origin make equal angles with the coordinate axes?
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
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
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