Oh boy oh boy. This is kicking in now. 1 month and 12 days until FP1. Dreading the conics questions, I'm thinking they'll give us a horrid 9 marker or something. Ew!
Quick question:
In a question where it gives you a parabola/hyperbola, and tells you the normal to the parabola/hyperbola at P (say P is the general point p(ap^2, 2ap)) meets the parabola again at another point D, how do you go about finding the co-ordinates of this other point Q? Like what is the method and reasoning behind the steps you're taking in order to find the coordinates? And also, where it says 'the tangent at point p and point q meet at the point R, find the coordinates of R' what is the actual method for this? Like for example, why do you find both of the equations of the tangents at P and Q and subtract them rather than adding etc? I can't really explain my question but hopefully you guys can understand what I mean slightly!