Q3 iii:
tanget of P passes through (cq, 0):
tanget of P is x + p<sup>2</sup>y = 2cp
so (cq) + 0 = 2cp
so q = 2p
so parametric form of T becomes ( 4cp<sup>2</sup> / 3p, 2c / 3p)
so x<sub>T</sub> = 4cp/ 3, y<sub>T</sub> = 2c/3p
so xy = 8c<sup>2</sup>/ 9
you could work out the eccentricity yourself, I forgot how to
edit: i think is e = root 2