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thanks to both of you for the help - deterministic: WOW never would I have thought of such a faster method - thank you very much. Anyway, just a follow up question: Part 2 - Prove that the length of PQ is {4a / (1+p^2)^1.5} / (p^2) Do I use the distance formula or is there some other faster...

Hi guys, here's the question: If the normal at p(2ap, ap^2) on the parabola x^2 = 4ay meets the parabola AGAIN at Q: (i) Show that the coordinates of Q are ( [-2a*(p^2 +2)]/p , {a*[(p^2+ 2)^2]}/(p^2) ) Sorry its so hard to read, I'm an absolute nub with latex basically abcissa: [(minus 2a)*(p...