NDA questions
2827 published questions with worked solutions.
- Let A= pmatrix 1&- &1 pmatrix and B= pmatrix 1& - &1 pmatrix If C=AB^ -1 , then what is (C) equal to?
- What is the coefficient of x^ 2n in the expansion of the following? (1+x)^ 2n (1+ 1 x )^ 2n
- Consider the following statements in respect of the expansion of (x^2+x^ -2 +2)^4 : I. The number of terms in the expansion is 5....
- Consider the following relations from A to B, where A= 1, 3, 5 and B= 2, 4, 6, 8 : I. (1, 2), (3, 2), (3, 6), (5, 8) II. (3, 4),...
- If x^2-2x +1=0, then what is the magnitude of x?
- Consider the following statements in respect of sets A and B : I. If x A and A B, then x B. II. If A B and x B, then x A. Which...
- A research group conducted a survey of 500 consumers and reported that 370 consumers preferred product X and 240 consumers...
- The Cartesian product A A has 25 elements among which are found (3, 1), (6, 2), (5, 3). Which of the following statements is/are...
- Consider the following statements in respect of a relation R from a set A to a set B : I. The set B is called codomain of the...
- A circle touches each of the lines x-y=0 and x+y=0 at unit distance from the origin. The centre of the circle may be at
- A line ( )x+( )y= 2 cuts the coordinate axes at points P and Q. Let M be the midpoint of the line segment PQ. What is the...
- The centre and one of the foci (F) of an ellipse are at (0, 0) and (-c, 0) respectively. If P(x, y) is any point on the ellipse...
- A ray of light passing through the point P(1, 2) reflects on the x-axis at point N and the reflected ray passes through the point...
- A line cuts off intercept p on the x-axis and intercept q on the y-axis, where p>q. The sum of the intercepts is 2 and the...
- Let P and Q be the points on the positive x-axis and positive y-axis respectively. A point N(2, 1) divides the line segment PQ in...
- ABCD is a square. The equations of AB, AD and BD are y=0, x=0 and x+y-4=0 respectively. What is the equation of AC?
- ABC is a triangle, where the vertices A and B are fixed points both lying on the x-axis. Let AB=10 cm. The vertex C moves such...
- What is the eccentricity (e) of the parabola 4x^2+y=0?
- The vertices of a triangle are A(2, 0, 0), B(0, 6, 0) and C(0, 0, 4). If AD, BE and CF are the medians of the triangle, then what...Not in JEE syllabus
- A line makes angles , and with the positive directions of x-axis, y-axis and z-axis respectively such that + =90^ . Which of the...