Conic Section T...

If a double ordinate of the parabola y² = 4ax be of length 8a, the the angle between the lines joining the vertex of the parabola of the ends of this double ordinate is

PQ is a double ordinate of the parabola y² = 4ax. The locus of the points of transaction of PQ is

If the vertex of a parabola be at origin and directrix be x + 5 = 0, then its latus rectum is

The latus rectum of a parabola whose directrix is x + y – 2 = 0 and focus is (3, –4) is

The equation of the lines joining the vertex of the parabola y² = 6x to the points on it whose abscissa is 24 is

Let (x, y) be any point on the parabola y² = 4x. Let P be the point that divides the line segment from (0, 0) to (x, y) in the ratio 1 : 3 then the locus of P is

The points on the parabola y² = 12x whose focal distance is 4 are