Prove that the chord is a normal chord of the parabola

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Prove that the chord

y-x\sqrt{2}+4a\sqrt{2}=0

is a normal chord of the parabola

y^2=4ax

. Also, find the point on the parabola at which the given chord is normal.