JEE Advanced questions
3844 published questions with worked solutions.
- The function f(x) = | x| (-2 x 2 ) is
- If the point (a, a + 1) belongs to the interior of the region bounded by the curve y = 5 - x^2 and the x-axis then a belongs to
- The vertex of the parabola x^2 = 2(2x + y) is
- The value of _0^1 x^2 1 + x^6 ,dx is equal to
- Let ABC be an equilateral triangle whose orthocentre is the origin O. If OA = a, OB = b then OC isNot in JEE syllabus
- The equation of a common tangent to the circle x^2 + y^2 = 2a^2 and the parabola y^2 = 8ax is
- If amp z_1 - z_2 z_1 - z_3 = 2 , where |z_1| |z_2| |z_3|, then the points representing z_1, z_2 and z_3 are
- If f(x) = cases |x - 3| & for x 1 [4pt] x^2 4 - 3x 2 + 13 4 & for x < 1 cases then f(x) is
- In a triangle ABC in which C > 2 ,
- Three lines OA, OB and OC through the origin O have direction ratios l, 2, 1; 1, m, 2 and 2, 1, n respectively. Column I: (i) OB...
- Normals are drawn from the point P with slopes m_1, m_2, m_3 to the parabola y^2 = 4x. If the locus of P when m_1m_2 = k is part...
- Two tangents to the parabola x^2 = 6y meet at the point (-1, - 32 ). STATEMENT-1: The tangents are perpendicular to each other....
- Let z, be complex numbers such that z + i = 0 and (z ) = . Then z equals
- Let A = bmatrix 0 & 0 & -1 0 & -1 & 0 -1 & 0 & 0 bmatrix . The only correct statement about the matrix A is
- If (x + p - 1) is a factor of the expression x^2 + px + 1 - p then the roots of the equation x^2 + px + 1 = p are
- If f(x) = a^2 ^2 x + b^2 ^2 x + a^2 ^2 x + b^2 ^2 x then the difference between the maximum and minimum values of f(x) ^2 is...
- A point on the parabola y^2 = 18x at which the ordinate increases at twice the rate of the abscissa is
- The normal to the curve x = a(1 + ), y = a at the point ' ' always passes through the fixed point
- If _0^ x f( x) ,dx = A _0^ /2 f( x) ,dx then A is
- If f(x) = e^x 1 + e^x , I_1 = _ f(-a) ^ f(a) x g x(1-x) ,dx and I_2 = _ f(-a) ^ f(a) g x(1-x) ,dx then the value of I_2/I_1 is