JEE Advanced questions
3844 published questions with worked solutions.
- The lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' will be perpendicular if and only if
- Which of the following planes intersects the planes x-y+2z=3 and 4x+3y-z=1 along the same line?
- The line x-1 2 = y -1 = z+2 2 cuts the plane x+y+z=1 at P. If the foot of the perpendicular from P to a plane be (3,-4,1) then...
- A variable plane at a distance of 1 unit from the origin cuts the coordinate axes at A, B and C. If the centroid D(x,y,z)...
- A plane through the line x-1 1 = y+1 -2 = z1 has the equation
- The equation of a plane is 2x-y-3z=5 and A(1,1,1), B(2,1,-3), C(1,-2,-2) and D(-3,1,2) are four points. Which of the following...
- Let A and B be two sets such that A B = A. Then A B is equal to
- If A and B are two sets then (A - B) (B - A) (A B) is equal to
- 20 teachers of a school either teach mathematics or physics. 12 of them teach mathematics while 4 teach both the subjects. Then...
- Of the members of three athletic teams in a school, 21 are in the cricket team, 26 are in the hockey team and 29 are in the...
- The relation "congruence modulo m" is
- R is a relation over the set of real numbers and it is given by mn 0. Then R is
- R is a relation over the set of integers and it is given by (x, y) R |x - y| 1. Then R is
- Let r be a relation over the set N N and it is defined by (a, b) , r , (c, d) a + d = b + c. Then r is
- Let A = 1, 2, 3 . The total number of distinct relations that can be defined over A is
- On the set A = 1, 2, 3, 4 , a relation is R = (1, 3,), (4, 2), (2, 4), (2, 3), (3, 1) . The relation R is
- Let R = set of real numbers and R_c = set of real angles in radian measure. If f : R_c R be a mapping such that f(x) = x, x R_c,...
- Let f : R R such that f(x) = 1 1 + x^2 , x R. Then f is
- f : R R R such that f(x + iy) = + x^2 + y^2 . Then f is
- Let A = x -1 < x < 1 = B. If f : A B be bijective then a possible definition of f(x) is