JEE Advanced questions
3844 published questions with worked solutions.
- For all x (0, 1),
- The incentre of the triangle with vertices (1, 3), (0, 0) and (2, 0) is
- The line x - 1 = 0 is the directrix of the parabola y^2 - kx + 8 = 0. Then one of the values of k is
- The domain of definition of the function y(x) given by 2^ x + 2^ y = 2 is
- The triangle PQR is inscribed in the circle x^2 + y^2 = 25. If Q and R have coordinates (3, 4) and (-4, 3), respectively then QPR...Not in JEE syllabus
- Let f(x) = e^ x ,(x - 1)(x - 2) , dx. Then f decreases in the interval
- Let g(x) = _0^ x f(t) , dt, where 12 f(t) 1 for t [0, 1] and 0 f(t) 12 for t (1, 2]. Then
- If x^2 + y^2 = 1 then ( where y' = dy dx , y'' = d^2y dx^2 )
- If the vectors a, b and c are represented by the sides BC, CA and AB, respectively, of the ABC then
- A pole stands vertically inside a triangular park ABC. If the angle of elevation of the top of the pole from each corner of the...Not in JEE syllabus
- Let f( ) = ( )( + 3 ). Then
- If x + y = k is a normal to the parabola y^2 = 12x then k is
- If z_1, z_2, z_3 are complex numbers such that |z_1| = |z_2| = |z_3| = | 1 z_1 + 1 z_2 + 1 z_3 | = 1 then |z_1 + z_2 + z_3| is
- If z < 0 then (-z) - z is equal to
- Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1,...
- If a, b and c are unit coplanar vectors then the scalar triple product [2 a - b ; ; 2 b - c ; ; 2 c - a] is equal to
- Let the vectors a, b, c and d be such that ( a b) ( c d) = 0. Let P_1 and P_2 be planes determined by pairs of vectors a, b and...
- In a ABC, 2ac A - B + C 2 is equal toNot in JEE syllabus
- If f(x) = cases e^ x x & for |x| 2 2 & otherwise cases then _ -2 ^ 3 f(x) , dx is equal to
- The value of _ e^ -1 ^ e^ 2 | _e x x | dx is