NDA questions
2295 published questions with worked solutions.
- If p^2, q^2 and r^2 (where p, q, r>0) are in GP, then which of the following is/are correct? 1. p, q and r are in GP. 2. p, q and...
- If and are the roots of the equation x^2-3x+2=0, then what is ( + ) equal to?
- The roots and of a quadratic equation, satisfy the relations + = ^2+ ^2 and = ^2 ^2. What is the number of such quadratic...
- What is the argument of the complex number 1-i 3 1+i 3 , where i= -1 ?
- What is the modulus of the complex number +i -i , where i= -1 ?
- Consider the proper subsets of 1, 2, 3, 4 . How many of these proper subsets are superset of the set 3 ?
- Let p, q and r be three distinct positive real numbers. If D= vmatrix p&q&r &r&p &p&q vmatrix , then which one of the following...
- What is the sum of the last five coefficients in the expansion of (1+x)^9 when it is expanded in ascending powers of x?
- Consider the following in respect of a non-singular matrix of order 3 : 1. A( adj ,A)=( adj ,A)A 2. | adj ,A|=|A| Which of the...
- The center of the circle (x-2a)(x-2b)+(y-2c)(y-2d)=0 is
- The point (1, -1) is one of the vertices of a square. If 3x+2y=5 is the equation of one diagonal of the square, then what is the...
- Let P(x, y) be any point on the ellipse 25x^2+16y^2=400. If Q(0, 3) and R(0, -3) are two points, then what is (PQ+PR) equal to?
- If the circumcentre of the triangle formed by the lines x+2=0, y+2=0 and kx+y+2=0 is (-1, -1), then what is the value of k?
- In the parabola, y^2=x, what is the length of the chord passing through the vertex and inclined to the x-axis at an angle ?
- Under which condition, are the points (a, b), (c, d) and (a-c, b-d) collinear?
- Let ABC be a triangle. If D(2, 5) and E(5, 9) are the mid-points of the sides AB and AC respectively, then what is the length of...
- If the foot of the perpendicular drawn from the point (0, k) to the line 3x-4y-5=0 is (3, 1), then what is the value of k?
- What is the obtuse angle between the lines whose slopes are 2- 3 and 2+ 3 ?
- If 3x-4y-5=0 and 3x-4y+15=0 are the equations of a pair of opposite sides of a square, then what is the area of the square?
- If a line has direction ratios <a+b, b+c, c+a>, then what is the sum of the squares of its direction cosines?