A circle cuts the parabola at right angles and passes through the focus

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

Problem

A circle cuts the parabola y2=4axy^2=4ax at right angles and passes through the focus. Show that its centre lies on the curve y2(a+2x)=a(a+3x)2y^2(a+2x)=a(a+3x)^2.

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