The normal at P(2ap, ap^2) on the parabola x^2 = 4ay cuts the y-axis at Q and is producted to a point R such that PQ = QR.
i) given that te equation of the normal at P is x+py = 2ap + ap^3, find th ecoordinates of Q.
ii) Show that R has coordinates (-2ap, ap^2 + 4a)
iii) Show that the...