JEE Advanced questions
3844 published questions with worked solutions.
- The complex numbers z_1, z_2 and z_3 satisfying z_1 - z_3 z_2 - z_3 = 1 - 3 , i 2 are the vertices of a triangle which is
- Let z_1 and z_2 be nth roots of unity which are ends of a line segment that subtend a right angle at the origin. Then n must be...
- Let f: R R be a function defined by f(x) = x, x^3 . The set of all points where f(x) is not differentiable is
- Let f: (0, + ) R and F(x) = _0^x f(t) ,dt. If F(x^2) = x^2(1+x) then f(4) equals
- The left-hand derivative of f(x) = [x] x at x = k, where k is an integer and [x] = greatest integer not greater than x, is
- If f(x) = xe^ x(1-x) then f(x) is
- _ x 0 ( ^2 x) x^2 equals
- The triangle formed by the tangent to the curve f(x) = x^2 + bx - b at the point (1, 1) and the coordinate axes, lies in the...
- The domain of f(x) = _2(x+3) x^2 + 3x + 2 is
- The value of _ - ^ ^2 x 1 + a^x ,dx (a > 0) is
- The equation of the common tangent touching the circle (x-3)^2 + y^2 = 9 and the parabola y^2 = 4x above the x-axis, is
- Let AB be a chord of the circle x^2 + y^2 = r^2 subtending a right angle at the centre. Then the locus of the centroid of the PAB...
- The equation of the directrix of the parabola y^2 + 4y + 4x + 2 = 0 is
- If a, b and c are unit vectors then | a - b|^2 + | b - c|^2 + | c - a|^2 does not exceed
- Which of the following functions is differentiable at x = 0?
- Let a = i - k, b = x i + j + (1-x) k and c = y i + x j + (1 + x - y) k. Then [ a b c] depends on
- Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on...
- A man from the top of a 100-metre-high tower sees a car moving towards the tower at an angle of depression of 30^ . After some...Not in JEE syllabus
- If ^ -1 (x - x^2 2 + x^3 4 - ) + ^ -1 (x^2 - x^4 2 + x^6 4 - ) = 2 for 0 < |x| < 2 then x equals
- x^2 - 1 x^3 2x^4 - 2x^2 + 1 ,dx is equal to