If the pole of the normal at P lie on the normal at Q, then show that the pole of the normal at Q lies on the normal at P.

Normality

P(t_(1)) and Q(t_(2)) are the point t_(1) and t_(2) on the parabola y^(2)=4ax. The normals at P and Q meet on the parabola.Show that the middle point PQ lies on the parabola y^(2)=2a(x+2a)

If the normal at P(18, 12) to the parabola y^(2)=8x cuts it again at Q, then the equation of the normal at point Q on the parabola y^(2)=8x is

Normal at P(t1) cuts the parabola at Q(t2) then relation