So, okay I don't even know what the question means. I'm so confused now..

Consider the parabola $\displaystyle 4ay = x^2$, where $\displaystyle a > 0 $ and suppose the tangents at $\displaystyle P(ap, ap^2)$ and $\displaystyle Q (2aq, aq^2)$ intersect at point T.

Let $\displaystyle S (0, a)$ be the focus of the parabola.

1) Find the coordinates of T. (assume that the tangents at P is $\displaystyle y = px - ap^2$).

2) Show that $\displaystyle SP = a(p^2 +1)$. Suppose P and Q move on the parabola in such a way that $\displaystyle SP + SQ = 4a $

3) Show that T is constrained to move on a parabola