NDA questions
2827 published questions with worked solutions.
- The element in the ith row and the jth column of a determinant of third order is equal to 2(i+j). What is the value of the...
- With the numbers 2, 4, 6, 8, all the possible determinants with these four different elements are constructed. What is the sum of...
- What is the radius of the circle 4x^2+4y^2-20x+12y-15=0?
- A parallelogram has three consecutive vertices (-3, 4), (0, -4) and (5, 2). The fourth vertex is
- If the lines y+px=1 and y-qx=2 are perpendicular, then which one of the following is correct?
- If A, B and C are in AP, then the straight line Ax+2By+C=0 will always pass through a fixed point. The fixed point is
- If the image of the point (-4, 2) by a line mirror is (4, -2), then what is the equation of the line mirror?
- Consider the following statements in respect of the points (p, p-3), (q+3, q) and (6, 3) : 1. The points lie on a straight line....
- 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?
- Consider the following with regard to eccentricity (e) of a conic section : 1. e=0 for circle 2. e=1 for parabola 3. e<1 for...
- 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?