JEE Advanced questions
3844 published questions with worked solutions.
- Let the equations of a circle and a parabola be x^2 + y^2 - 4x - 6 = 0 and y^2 = 9x respectively. Then
- The equation of a common tangent to the parabola y^2 = 2x and the circle x^2 + y^2 + 4x = 0 is
- Let there be two parabolas with the same axis, focus of each being exterior to the other and the latus recta being 4a and 4b. The...
- P is a point which moves in the x-y plane such that the point P is nearer to the centre of a square than any of the sides. The...
- The equation 2x^2 - 3xy + 5y^2 + 6x - 3y + 5 = 0 represents
- The set of real values of k for which the equation (k+1)x^2 + 2(k-1)xy + y^2 - x + 2y + 3 = 0 represents an ellipse is
- The eccentricity of the ellipse x^2 4 + y^2 9 = 1 is
- The eccentricity of the hyperbola x^2 - 4y^2 = 16 is
- The eccentricity of the conic section 4(x^2 - y^2) = 1 is
- The ellipse x^2 a^2 + y^2 b^2 = 1 passes through the point (-3, 1) and has the eccentricity 25 . Then the major axis of the...
- The hyperbola x^2 a^2 - y^2 b^2 = 1 passes through the point (2, 3) and has the eccentricity 2. Then the transverse axis of the...
- In the ellipse x^2 + 3y^2 = 9 the distance between the foci is
- The minor axis of the ellipse 9x^2 + 5y^2 = 30y is
- The foci of the ellipse 25x^2 + 36y^2 = 225 are
- If the eccentricity of the hyperbola x^2 a^2 - y^2 b^2 = 1 is e then the eccentricity of the hyperbola y^2 b^2 - x^2 a^2 = 1 is
- If in an ellipse the minor axis = the distance between the foci and its latus rectum = 10 then the equation of the ellipse in the...
- If in a hyperbola the eccentricity is 3, and the distance between the foci is 9 then the equation of the hyperbola in the...
- If in an ellipse, a focus is (6, 7), the corresponding directrix is x + y + 2 = 0 and the eccentricity = 12 then the equation of...
- If for a rectangular hyperbola a focus is (1, 2) and the corresponding directrix is x + y = 1 then the equation of the...
- If two foci of an ellipse be (-2, 0) and (2, 0) and its eccentricity is 23 then the ellipse has the equation