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## Homework Statement

If the normal at P(ap^2 ,2ap) to the parabola y^2 = 4ax meets the curve again at Q(aq^2, 2aq), show that p^2 +pq+2=0

## Homework Equations

Point-slope form

## The Attempt at a Solution

I tried putting y=2aq and x=aq^2 but I can seem to simplify the whole thing other than dividing both sides by a