NDA questions
2827 published questions with worked solutions.
- If i= -1 , then how many values does i^ -2n have for different n Z ?
- If x= a b-c , y= b c-a , z= c a-b then what is the value of the following? vmatrix 1 & -x & x 1 & 1 & -y 1 & z & 1 vmatrix
- Consider the following in respect of the matrix A= bmatrix 1 & 1 & 1 1 & 1 & 1 1 & 1 & 1 bmatrix 1. Inverse of A does not exist...
- The locus of a point P(x, y, z) which moves in such a way that z=7 is a
- Consider the following statements : 1. A line in space can have infinitely many direction ratios. 2. It is possible for certain...
- The xy-plane divides the line segment joining the points (-1, 3, 4) and (2, -5, 6)
- ABCDEFGH is a cuboid with base ABCD. Let A(0, 0, 0), B(12, 0, 0), C(12, 6, 0) and G(12, 6, 4) be the vertices. If is the angle...
- Let a , b and c be unit vectors such that a b is perpendicular to c . If is the angle between a and b , then which of the...
- If a +3 b =3 i - j and 2 a + b = i -2 j , then what is the angle between a and b ?
- Let a , b and c be three vectors such that a , b and c are coplanar. Which of the following is/are correct? 1. ( a b ) c is...
- If the position vectors of A and B are ( 2 -1) i - j and i +( 2 +1) j respectively, then what is the magnitude of AB ?
- If y=(1+x)(1+x^2)(1+x^4)(1+x^8)(1+x^ 16 ) then what is dy dx at x=0 equal to?
- If y= x 4x 8x, then what is 1 y dy dx at x= 4 equal to?
- Let f(x) be a polynomial function such that f f(x)=x^4. What is f'(1) equal to?
- What is _ n a^n+b^n a^n-b^n where a>b>1, equal to?
- Let f(x)= cases 1+ x 2k , & 0<x<2 kx, & 2 x<4 cases If _ x 2 f(x) exists, then what is the value of k?
- Consider the following statements in respect of f(x)=|x|-1 : 1. f(x) is continuous at x=1. 2. f(x) is differentiable at x=0....
- If f(x)= [x] |x| , x 0, where [ ] denotes the greatest integer function, then what is the right-hand limit of f(x) at x=1?
- Consider the following statements in respect of the function f(x)= ( 1 x^2 ), x 0 : 1. It is continuous at x=0, if f(0)=0. 2. It...
- What is the range of the function f(x)=1- x defined on entire real line?