For a parabola the distance between the focus and the directrix is equal to

The equation or the parabola with the focus (3,0)and the directrix x + 3 = 0 is

Prove that the portion or the tangent intercepted,between the point of contact and the directrix of the parabola y^(2)= 4ax subtends a right angle at its focuc.

The distance between the directrix is equal to 8 times the distance between the foci then e =

Find the equation of parabola whose focus is (-2,3) and the directrix is 2x+3y=4

The focus of a parabola is (2,3) and the foot of the perpendicular from the focus to the directrix is (4,5) . The equation to the parabola is .

A parabola has the origin as its focus and the line x=2 as the directrix . Then the vertex of the parabola is at

Find the equation of the parabola whose vertex and focus are on the positive X-axis at a distance of a and a' from the origin respectively.