Show that the normal to the parabola at the point meets it again at

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

Problem

Show that the normal to the parabola y2=8xy^2=8x at the point (2,4)(2,4) meets it again at (18,−12)(18,-12). Find also the length of the normal chord.

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