Hi,

I have a problem I'm having trouble with.

The points $\displaystyle P(ap^2, 2ap)$ and $\displaystyle Q(aq^2, 2aq)$ lie on the parabola with equation $\displaystyle y^2 = 4ax$. Show that the tangents to the parabola at P and Q meet at $\displaystyle R[apq, a(p+q)]$. Show further that the area of the triangle PQR is $\displaystyle \frac{1}{2}a^2 |p-q|^3$

I can do the first part about showing R, but I have no idea about finding the area of the triangle. Any help would be much appreciated

Stonehambey