Find the condition for the lines to be conjugate diameters of x^2 a^2 - y^2 b^2 = 1.

MATHEMATICS · Subjective · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Find the condition for the lines

Ax^2 + 2Hxy + By^2 = 0

to be conjugate diameters of

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