Here are the questions:
I have posted a link there to this topic so the OP can see my work.Mathematics extension 1 (help with 2 parametric questions)?
P(2ap,ap^2) and Q(2aq,aq^2) are two points on the parabola x^2 = 4ay
a) Show that the chord PQ has the equation (p + q) x - 2y = 2apq
b) If P and Q move on the parabola such that pq = 1, where p is not = 0 and q is not = 0, show that the chord PQ (produced) always passes through a fixed point R on the y axis
The normal to the parabola x^2 = 2ay at the point T(2at,at^2) cuts the x-axis at X and the y-axis at Y.
a) show the normal at T has equation x + ty = 2at + at^3
b) Show that TX/TY = t^2/2
also u dont need to do both if u cant be bothered but please show all working out