are on the parabola .
If the chord PQ passes through the focus of the parabola and the normals at P and Q meet at R, show that the locus of R is given by .
Since the chord is a focal chord, pq=-1. and q=-1/p
the equations of the normals are
_1 and _2
solving these two
now my problem is I have the parametric equation for the locus of R but i don't know how to get the cartesian equation from here.