NDA questions
2827 published questions with worked solutions.
- If , and are the angles which the vector OP (O being the origin) makes with positive direction of the coordinate axes, then which...
- The angle between the lines x+y-3=0 and x-y+3=0 is and the acute angle between the lines x- 3 y+2 3 =0 and 3 x-y+1=0 is . Which...
- Let = i +2 j - k , =2 i - j +3 k and =2 i + j +6 k be three vectors. If and are both perpendicular to the vector and =10, then...
- If a and b are two unit vectors, then the vector ( a + b ) ( a b ) is parallel to
- If the vectors a i + j + k , i +b j + k and i + j +c k (a, b, c 1) are coplanar, then the value of 1 1-a + 1 1-b + 1 1-c is equal...
- The point of intersection of the line joining the points (-3, 4, -8) and (5, -6, 4) with the XY-plane is
- If the angle between the lines whose direction ratios are 2, -1, 2 and x, 3, 5 is 4 , then the smaller value of x is
- The position of the point (1, 2) relative to the ellipse 2x^2+7y^2=20 is
- The equation of a straight line which cuts off an intercept of 5 units on negative direction of y-axis and makes an angle 120^...
- The equation of the line passing through the point (2, 3) and the point of intersection of lines 2x-3y+7=0 and 7x+4y+2=0 is
- The equation of the ellipse whose centre is at origin, major axis is along x-axis with eccentricity 3 4 and latus rectum 4 units...
- The equation of the circle which passes through the points (1, 0), (0, -6) and (3, 4) is
- A variable plane passes through a fixed point (a, b, c) and cuts the axes in A, B and C respectively. The locus of the centre of...
- The equation of the plane passing through the line of intersection of the planes x+y+z=1, 2x+3y+4z=7, and perpendicular to the...
- The inverse of the function y=5^ x is
- A function is defined as follows : f(x)= cases - x x^2 , & x 0 0, & x=0 cases Which one of the following is correct in respect of...
- If y=( x)^ ( x)^ ( x)^ ^ ^ , then dy dx is equal to
- Consider the following : 1. x+x^2 is continuous at x=0 2. x+ 1 x is discontinuous at x=0 3. x^2+ 1 x is continuous at x=0 Which...
- If y= ^ -1 ( x+1 x-1 )+ ^ -1 ( x-1 x+1 ), then dy dx is equal to
- What is ^ -1 ( x+ x) ,dx equal to?