NDA questions
2295 published questions with worked solutions.
- The centre of the circle passing through origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the line
- The centre of an ellipse is at (0, 0), major axis is on the y-axis. If the ellipse passes through (3, 2) and (1, 6), then what is...
- Consider the points A(2, 4, 6), B(-2, -4, -2), C(4, 6, 4) and D(8, 14, 12). Which of the following statements is/are correct? 1....
- A plane cuts intercepts 2, 2, 1 on the coordinate axes. What are the direction cosines of the normal to the plane?
- Consider the following statements : 1. The direction ratios of y-axis can be <0, 4, 0> 2. The direction ratios of a line...
- PQRS is a parallelogram. If PR = a and QS = b , then what is PQ equal to?
- Let a and b are two unit vectors such that a +2 b and 5 a -4 b are perpendicular. What is the angle between a and b ?
- Let a , b and c be unit vectors lying on the same plane. What is (3 a +2 b ) (5 a -4 c ) ( b +2 c ) equal to?
- What are the values of x for which the angle between the vectors 2x^2 i +3x j + k and i -2 j +x^2 k is obtuse?
- The position vectors of vertices A, B and C of triangle ABC are respectively j + k , 3 i + j +5 k and 3 j +3 k . What is angle C...
- If f(x)=4x+1 and g(x)=kx+2 such that f g(x)=g f(x), then what is the value of k?
- What is the minimum value of the function f(x)= _ 10 (x^2+2x+11)?
- What is (x^x)^2(1+ x) ,dx equal to?
- What is e^x 1+ x+x x ,dx equal to?
- What is ( x)^ 1 5 -( x)^ 1 5 x x ,dx equal to?
- If y=(x^x)^x, then which one of the following is correct?
- What is the maximum value of 3( x- x)+4( ^3x- ^3x)?
- What is the area of the region (in the first quadrant) bounded by y= 1-x^2 , y=x and y=0?
- What is the area of the region bounded by x-|y|=0 and x-2=0?
- If f( )= ^2 -1 , then what is f( )+f( ) 1-f( )f( ) equal to?