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
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