Locus of the mid point of chords of the parabola `y^2 = 4ax` parellel to the line `lx+my+n=0.

The locus of the middle points of normal chords of the parabola y^2 = 4ax 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 midpoints of chords of the parabola y^(2)=4ax which are parallel to line y =mx +c is

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

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

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 the focal chords of the parabola, y 2 =4x

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 focal chords of the parabola, y^2=4x is: