A circle is described whose centre is the vertex and whose diameter is three-quarters of the latus rectum
of a parabola y2 = 4ax. Prove that the common chord of the circle and parabola bisects the distance
between the vertex and the focus.

A circle is depicted whose inside is the vertex and whose distance across is seventy five percent of the latus rectum of a parabola y2 = 4ax. Demonstrate that the normal harmony of the circle and parabola cuts up the separation between the vertex and the core interest.