If the three normals from a point to the parabola cut the axis at points whose…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If the three normals from a point to the parabola y2=4axy^2=4ax cut the axis at points whose distances from the vertex are in AP, show that the point lies on the curve 27ay2=2(x−2a)327ay^2=2(x-2a)^3.

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