If the diameter through any point of a parabola meets a chord at

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

Problem

If the diameter through any point

P

of a parabola meets a chord at

A

, and the tangents at the ends of the chord meet the diameter at

B

and

C

, prove that

PA^2=PB\cdot PC