Question

The locus of the middle points of the focal chords of the parabola y2=4ax is

Answer 1

Answer:

Let the parabola we consider and draw chords be y 2 = 4ax. The Vertex is O(0.0), which is one end of the chord. Let the other end be a varaible point P given by (at 2,2at). Let M(p,q) be the midpoint of the chord OP.