can help me solve this question ? thanks much !

show that ,for all values of p ,the point p given by x=ap^2 ,y=2ap lies on the curve y^2=4ax .

a)find the equation of the ormal to this curve at the point p.

If this normal meets the curve at the point Q (q^2,2aq) , show that p^2 +pq+2=0 .

b)determine the coordinates of R ,the point of intersection of the tangents of the curve at the point p and Q .

hence ,show that the line locus of the pint R is y^2(x+2a)+4a^3=0 .

thanks .....