JEE Advanced questions
3844 published questions with worked solutions.
- The arithmetic mean of the ordinates of the feet of the normals from (3, 5) to the parabola y^2 = 8x is
- The area of the triangle formed by the tangent and the normal to the parabola y^2 = 4ax, both drawn at the same end of the latus...
- If two of the three feet of normals drawn from a point to the parabola y^2 = 4x be (1, 2) and (1, -2) then the third foot is
- Let P, Q, R be three points on a parabola, normals at which are concurrent. The centroid of the must lie on
- The vertex of the parabola y^2 = 8x is at the centre of a circle and the parabola cuts the circle at the ends of its latus...
- The locus of the middle points of chords of a parabola which subtend a right angle at the vertex of the parabola is
- The locus of a point from which tangents to a parabola are at right angles is a
- P is a point. Two tangents are drawn from it to the parabola y^2 = 4x such that the slope of one tangent is three times the slope...
- The locus of the middle points of parallel chords of a parabola x^2 = 4ay is a
- The locus of the middle points of chords of the parabola y^2 = 8x drawn through the vertex is a parabola whose
- The locus of the points of trisection of the double ordinates of a parabola is a
- The parabola x^2 + 2x - 4y = 0 has
- The equation of a parabola is 25 (x-2)^2 + (y+5)^2 = (3x + 4y - 1)^2. For this parabola
- Let PQ be a chord of the parabola y^2 = 4x. A circle drawn with PQ as a diameter passes through the vertex V of the parabola. If...
- The equation of a tangent to the parabola y^2 = 9x from the point (4, 10) is
- If the tangents drawn from the point (0, 2) to the parabola y^2 = 4ax are inclined at an angle 3 4 then the value of a is
- If the tangents to the parabola y^2 = 4ax at (x_1, y_1), (x_2, y_2) cut at (x_3, y_3) then
- The equation of a locus is y^2 + 2ax + 2by + c = 0. Then
- A tangent to the parabola y^2 = 4ax is inclined at 3 with the axis of the parabola. The point of contact is
- A chord PP′ of a parabola cuts the axis of the parabola at O. The feet of the perpendiculars from P and P′ on the axis are M and...