Parabola questions
264 published questions with worked solutions.
- If y + b = m_1(x+a) and y + b = m_2(x+a) are two tangents to the parabola y^2 = 4ax then
- The tangents to a parabola at the vertex V and any point P meet at Q. If S be the focus then SP, SQ, SV are in
- The equation of the common tangent to the equal parabolas y^2 = 4ax and x^2 = 4ay is
- 't_1' and 't_2' are two points on the parabola y^2 = 4x. If the chord joining them is a normal to the parabola at 't_1' then
- The set of points on the axis of the parabola y^2 = 4x + 8 from which the 3 normals to the parabola are all real and different is
- The number of distinct normals that can be drawn from (-2, 1) to the parabola y^2 - 4x - 2y - 3 = 0 is
- The arithmetic mean of the ordinates of the feet of the normals from (3, 5) to the parabola y^2 = 8x is
- 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 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
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