ID: Class: 11 Subject: Math Topic: Straight Lines Type: Subjective Year: null

Question:

Prove that the product of the lengths of the perpendiculars drawn from the points $(\sqrt{a^{2}-b^{2}},0)$ and $(-\sqrt{a^{2}-b^{2}},0)$; to the line $\frac{x}{a} \cos \theta+\frac{y}{b} \sin \theta=1$ is $b^2$.