JEE Advanced questions
3844 published questions with worked solutions.
- Given the two ends of the latus rectum, the maximum number of parabolas that can be drawn is
- If the focus of a parabola is (-2, 1) and the directrix has the equation x + y = 3 then the vertex is
- If the vertex and the focus of a parabola are (-1, 1) and (2, 3) respectively then the equation of the directrix is
- The vertex of a parabola is (a, 0) and the directrix is x + y = 3a. The equation of the parabola is
- If the vertex = (2, 0) and the extremities of the latus rectum are (3, 2) and (3, -2) then the equation of the parabola is
- Any point on the parabola whose focus is (0, 1) and the directrix is x + 2 = 0 is given by
- The equation of the parabola whose vertex and focus are on the positive side of the x-axis at distances a and b respectively from...
- The equation x^2 + 4xy + 4y^2 - 3x - 6y - 4 = 0 represents a
- The equation x^2 + 4xy + y^2 + x + 3y + 2 = 0 represents a parabola if is
- The focus of the parabola y^2 - x - 2y + 2 = 0 is
- The vertex of the parabola (y - a)^2 = 4a(x + a) is
- The length of the latus rectum of the parabola 169 (x - 1)^2 + (y - 3)^2 = (5x - 12y + 17)^2 is
- The length of the latus rectum of the parabola x = ay^2 + by + c is
- The parametric equation of a parabola is x = t^2 + 1, y = 2t + 1. The Cartesian equation of its directrix is
- If (2, -8) is at an end of a focal chord of the parabola y^2 = 32x then the other end of the chord is
- A line L passing through the focus of the parabola y^2 = 4(x - 1) intersects the parabola in two distinct points. If m be the...
- The HM of the segments of a focal chord of the parabola y^2 = 4ax is
- The length of a focal chord of the parabola y^2 = 4ax at a distance b from the vertex is c. Then
- The parabola y^2 = kx makes an intercept of length 4 on the line x - 2y = 1. Then k is
- A double ordinate of the parabola y^2 = 8px is of length 16p. The angle subtended by it at the vertex of the parabola is