The asymptotes of a hyperbola are parallel to lines and

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

Problem

The asymptotes of a hyperbola are parallel to lines

2x + 3y = 0

and

3x + 2y = 0

. The hyperbola has its centre at

(1, 2)

and it passes through

(5, 3)

, find its equation.