Find the locus of the midpoint of chords of the parabola `y^2=4a x` that pass through the point `(3a ,a)dot`

Find the locus of midpoint normal chord of the parabola y^(2)=4ax

Find the locus of the midpoint of normal chord of parabola y^(2)=4ax

Show that the locus of the middle point of all chords of the parabola y^2 = 4ax passing through a fixed point (h, k) is y^2 - ky=2a(x-h) .

The locus of the middle points of all chords of the parabola y^(2)=4ax passing through the vertex is

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

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

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

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

The locus of mid points of chords of the parabola y^(2)=4ax passing through the foot of the directrix is