Prove that the locus of a point which moves such that its distance from the focus…

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

Problem

Prove that the locus of a point P(x,y)P(x,y) which moves such that its distance from the focus (a,0)(a,0) equals its perpendicular distance from the line x=−ax=-a is y2=4axy^{2}=4ax.

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