So, okay I don't even know what the question means. I'm so confused now..
Consider the parabola , where and suppose the tangents at and intersect at point T.
Let be the focus of the parabola.
1) Find the coordinates of T. (assume that the tangents at P is ).
2) Show that . Suppose P and Q move on the parabola in such a way that
3) Show that T is constrained to move on a parabola