What is the locus of the midpoint of a focal chord of the parabola y2=4axy^2 = 4axy2=4ax?
y2=2a(x−a)y^2 = 2a(x-a)y2=2a(x−a)
y2=2axy^2 = 2axy2=2ax
y2=a(x−a)y^2 = a(x-a)y2=a(x−a)
y2=4axy^2 = 4axy2=4ax