NDA questions
2282 published questions with worked solutions.
- What is the equation of the ellipse whose vertices are ( 5, 0) and foci are at ( 4, 0)?
- What is the equation of the straight line passing through the point (2, 3) and making an intercept on the positive y-axis equal...
- Let the coordinates of the points A, B, C be (1, 8, 4), (0, -11, 4) and (2, -3, 1) respectively. What are the coordinates of the...
- What is the equation of the plane passing through the points (-2, 6, -6), (-3, 10, -9) and (-5, 0, -6)?
- The coordinates of the vertices P, Q and R of a triangle PQR are (1, -1, 1), (3, -2, 2) and (0, 2, 6) respectively. If RQP= ,...
- The perpendiculars that fall from any point of the straight line 2x+11y=5 upon the two straight lines 24x+7y=20 and 4x-3y=2 are
- The equation of the line, when the portion of it intercepted between the axes is divided by the point (2, 3) in the ratio of 3 :...
- What is the distance between the straight lines 3x+4y=9 and 6x+8y=15?
- If a and b are vectors such that | a |=2, | b |=7 and a b =3 i +2 j +6 k , then what is the acute angle between a and b ?
- Let p and q be the position vectors of the points P and Q respectively with respect to origin O. The points R and S divide PQ...
- What is the moment about the point i +2 j - k of a force represented by 3 i + k acting through the point 2 i - j +3 k ?
- If a +2 b +3 c = 0 and a b + b c + c a = ( b c ), then what is the value of ?
- Which one of the following is correct in respect of the function f : R R ^+ defined as f(x)=|x+1|?
- Suppose f : R R is defined by f(x)= x^2 1+x^2 . What is the range of the function?
- If f(x)=|x|+|x-1|, then which one of the following is correct?
- Consider the function f(x)= cases x^2 |x| & x 0 0 & x=0 cases . What is f'(0) equal to?
- What is the area of the region bounded by the parabolas y^2=6(x-1) and y^2=3x?
- What is _ 0 ^ e^x x ,dx equal to?
- If f(x)= x^2-9 x^2-2x-3 , x 3 is continuous at x=3, then which one of the following is correct?
- What is _ 1 ^ e x x ,dx equal to?