Parametrics (1 Viewer)

[Pillowman]

P is a variable point on the parabola [x^2 = 4y]. The Normal at P meets the parabola again at Q. The tangents at P and Q meet at T. S is the focus and QS=2PS.

(a) Prove angle PSQ = 90 degrees
(b) Prove that PQ = PT

Thank you