If the lines passes through the extremities of a pair of conjugate diameters of the…

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

Problem

If the lines

lx + my + n = 0

passes through the extremities of a pair of conjugate diameters of the hyperbola

\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1

, show that

a^2 l^2 - b^2 m^2 = 0