NDA questions
2295 published questions with worked solutions.
- Consider the following statements : 1. For an equation of a line, x +y =p, in normal form, the length of the perpendicular from...
- A circle is drawn on the chord of a circle x^2+y^2=a^2 as diameter. The chord lies on the line x+y=a. What is the equation of the...
- The sum of the focal distances of a point on an ellipse is constant and equal to the
- The equation 2x^2-3y^2-6=0 represents
- The points (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices lie on the line y=2x+c. What is the...
- If the lines 3y+4x=1, y=x+5 and 5y+bx=3 are concurrent, then what is the value of b?
- What is the equation of the straight line which is perpendicular to y=x and passes through (3, 2)?
- The straight lines x+y-4=0, 3x+y-4=0 and x+3y-4=0 form a triangle, which is
- The circle x^2+y^2+4x-7y+12=0, cuts an intercept on y-axis equal to
- The centroid of the triangle with vertices A(2, -3, 3), B(5, -3, -4) and C(2, -3, -2) is the point
- The equation of the plane passing through the intersection of the planes 2x+y+2z=9, 4x-5y-4z=1 and the point (3, 2, 1) is
- The distance between the parallel planes 4x-2y+4z+9=0 and 8x-4y+8z+21=0 is
- What are the direction cosines of z-axis?
- If a = i -2 j +5 k and b =2 i + j -3 k then what is ( b - a ) (3 a + b ) equal to?
- If the position vectors of points A and B are 3 i -2 j + k and 2 i +4 j -3 k respectively, then what is the length of AB ?
- The sine of the angle between vectors a =2 i -6 j -3 k and b =4 i +3 j - k is
- What is the value of for which the vectors 3 i +4 j - k and -2 i + j +10 k are perpendicular?
- What is the derivative of ^2( ^ -1 x) with respect to x?
- If f(x)= _ 10 (1+x), then what is 4f(4)+5f(1)- _ 10 2 equal to?
- A function f defined by f(x)= ( x^2+1 -x) is