Show that the locus of the midpoints of normal chords of the parabola is .

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

Problem

Show that the locus of the midpoints of normal chords of the parabola y2=4axy^2=4ax is y4−2a(x−2a)y2+8a4=0y^4-2a(x-2a)y^2+8a^4=0.

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