Foot of the directrix of the parabola ` y^(2) = 4ax ` is the point

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

Prove that the lines joining the ends of latus rectum of the parabola y^(2) = 4ax with the point of intersection of its axis and directrix are at right angles.

Let a circle touches to the directrix of a parabola y ^(2) = 2ax has its centre coinciding with the focus of the parabola. Then the point of intersection of the parabola and circle is

Let a circle touches to the directrix of a parabola y ^(2) = 2ax has its centre coinciding with the focus of the parabola. Then the point of intersection of the parabola and circle is

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

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 equation of the directrix of the parabola y^(2)-4ay-2ax=0 is