NDA questions
2204 published questions with worked solutions.
- What is the equation of the circle which passes through the points (3, -2) and (-2, 0) and having its centre on the line 2x-y-3=0?
- What is the equation of the ellipse having foci ( 2, 0) and the eccentricity 1 4 ?
- What is the equation of the straight line parallel to 2x+3y+1=0 and passes through the point (-1, 2)?
- What is the acute angle between the pair of straight lines 2 x+ 3 y=1 and 3 x+ 2 y=2?
- If the centroid of a triangle formed by (7, x), (y, -6) and (9, 10) is (6, 3), then the values of x and y are respectively
- A straight line with direction cosines 0, 1, 0 is
- (0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is...
- The points P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2, -1, 6) are
- The line passing through the points (1, 2, -1) and (3, -1, 2) meets the yz-plane at which one of the following points?
- Under which one of the following conditions are the lines x=ay+b; z=cy+d and x=ey+f; z=gy+h perpendicular?
- If a = i - j + k , b =2 i +3 j +2 k and c = i +m j +n k are three coplanar vectors and | c |= 6 , then which one of the following...
- Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin. What is OA + OB + OC + OD equal to?
- If a b = c and b c = a , then which one of the following is correct?
- If a =2 i +3 j +4 k and b =3 i +2 j - k are perpendicular, then what is the value of ?
- What is _ x 0 e^x-(1+x) x^2 equal to?
- What is _ 0 ^ 2 d 1+ equal to?
- What is dx x(x^7+1) equal to?
- The function f : X Y defined by f(x)= x, where x X, is one-one and onto if X and Y are respectively equal to
- What is (x^ e-1 +e^ x-1 ) ,dx x^e+e^x equal to?
- Let f : [-6, 6] R be defined by f(x)=x^2-3. Consider the following : 1. (f f f)(-1)=(f f f)(1) 2. (f f f)(-1)-4(f f f)(1)=(f...