The straight line joining the points P(2p,p²) and Q(2q,q²) passes through the point (0,1)
a) i) Show that pq = -1
ii) Deduce the coordinates of R, the midpoint of PQ, are
(p - 1/p , 1/2(p² + 1/p²))
b) Find the cartesian equation of the locus of R as p varies, giving your answer in the form y=f(x)
OK i have attempted a lame start.
and now i'm stuck