The locus of the middle points of the focal chords of the parabola, y 2 =4x

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is

The locus of the middle points of normal chords of the parabola y^2 = 4ax is-

The locus of the midpoints of the focal chords of the parabola y^(2)=6x which pass through a fixed point (9,5) is

Find the locus of the middle points of the chords of the parabola y^(2) = 4x which touch the parabola x^(2) = -8y .

The locus of the middle points of the chords of the parabola y^(2)=4ax , which passes through the origin is :

The locus of the middle points of the chords of the parabola y^(2)=4ax which pass through the focus, is

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Prove that the locus of the middle points of all chords of the parabola y^2 = 4ax passing through the vertex is the parabola y^2 = 2ax .