NDA questions
2295 published questions with worked solutions.
- What is the acute angle between the lines x-2=0 and 3 x-y-2=0?
- The point of intersection of diagonals of a square ABCD is at the origin and one of its vertices is at A(4, 2). What is the...
- If any point on a hyperbola is (3 , 2 ), then what is the eccentricity of the hyperbola?
- What is the angle between the two lines having direction ratios 6, 3, 6 and 3, 3, 0 ?
- If l, m, n are the direction cosines of the line x-1=2(y+3)=1-z, then what is l^4+m^4+n^4 equal to?
- What is the projection of the line segment joining A(1, 7, -5) and B(-3, 4, -2) on y-axis?
- What is the number of possible values of k for which the line joining the points (k, 1, 3) and (1, -2, k+1) also passes through...
- The foot of the perpendicular drawn from the origin to the plane x+y+z=3 is
- Consider the following statements in respect of a vector c = a + b , where | a |=| b | 0 : 1. c is perpendicular to ( a - b ). 2....
- If a and b are two vectors such that | a + b |=| a - b |=4, then which one of the following is correct?
- If a , b and c are coplanar, then what is (2 a 3 b ) 4 c +(5 b 3 c ) 6 a equal to?
- Consider the following statements : 1. The cross product of two unit vectors is always a unit vector. 2. The dot product of two...
- If _ x a a^x-x^a x^a-a^a =-1 then what is the value of a?
- What is _0^a f(a-x) f(x)+f(a-x) ,dx equal to?
- What is _ x -1 x^3+x^2 x^2+3x+2 equal to?
- If _0^a[f(x)+f(-x)] ,dx= _ -a ^ag(x) ,dx then what is g(x) equal to?
- What is the area bounded by y= 16-x^2 , y 0 and the x-axis?
- The curve y=-x^3+3x^2+2x-27 has the maximum slope at
- A 24 cm long wire is bent to form a triangle with one of the angles as 60°. What is the altitude of the triangle having the...
- If f(x)=e^ |x| , then which one of the following is correct?