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## Main Question or Discussion Point

Hi there, i've been struggling with this question for days :grumpy: :yuck: , the first part where they call me to prove that equation, i could do it.....the second one i don't know how to do...could anyone help me? how do i find the locus equation? its so confusing..... ty in advance.

If the normal at P(ap^2, 2ap) to the parabola y^2=4ax meets the curve again at Q(aq^2,2aq), prove that p^2 + pq + 2 = 0. Prove that the equation of the locus of the point of intersection of the tangents at P and Q to the parabola is y^2(x + 2a) + 4a^3 = 0.

^ means to the power of...

If the normal at P(ap^2, 2ap) to the parabola y^2=4ax meets the curve again at Q(aq^2,2aq), prove that p^2 + pq + 2 = 0. Prove that the equation of the locus of the point of intersection of the tangents at P and Q to the parabola is y^2(x + 2a) + 4a^3 = 0.

^ means to the power of...