If is the length of the perpendicular from the origin to the line

MATHEMATICS · Subjective · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

p

is the length of the perpendicular from the origin to the line

\frac{x}{a} + \frac{y}{b} = 1

, then prove that

\frac{1}{a^2} + \frac{1}{b^2} = \frac{1}{p^2}