If P be a point on the parabola `y^2=3(2x-3)` and M is the foot of perpendicular drawn from the point P on the directrix of the parabola, then length of each sides of an equilateral triangle SMP(where S is the focus of the parabola), is

The focus of the parabola y^2 = 20 x is

M is the foot of the perpendicular from a point P on a parabola y^2=4a x to its directrix and S P M is an equilateral triangle, where S is the focus. Then find S P .

The equation of the directrix of the parabola y^(2)=-8x is

The directrix of the parabola x^(2)=-4y is ……..

The locus of foot of the perpendiculars drawn from the vertex on a variable tangent to the parabola y^2 = 4ax is

Find the coordinates of the foot of the perpendicular drawn from the point P(1,-2) on the line y = 2x +1. Also, find the image of P in the line.

Two tangents on a parabola are x-y=0 and x+y=0. S(2,3) is the focus of the parabola. The length of latus rectum of the parabola is

If normal are drawn from a point P(h , k) to the parabola y^2=4a x , then the sum of the intercepts which the normals cut-off from the axis of the parabola is

The directrix of the parabola y^(2)=4x is …............. .

If the locus of the middle of point of contact of tangent drawn to the parabola y^2=8x and the foot of perpendicular drawn from its focus to the tangents is a conic, then the length of latus rectum of this conic is 9/4 (b) 9 (c) 18 (d) 9/2