NDA questions
2204 published questions with worked solutions.
- 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?
- A function is defined in (0, ) by f(x)= cases 1-x^2 & for 0<x 1 x & for 1<x 2 2-1+0 5x & for 2<x< cases Which one of the...
- Which one of the following is correct in respect of the function f(x)=x(x-1)(x+1)?
- Consider the following statements : 1. Derivative of f(x) may not exist at some point. 2. Derivative of f(x) may exist finitely...
- The maximum value of x x is
- The function f(x)=|x|-x^3 is
- The general solution of dy dx = ax+h by+k represents a circle only when