Q. Asymptotes of a hyperbola $\frac{x^{2}}{25} - \frac{y^{2}}{16} = 1$ are
A) $x = \pm \frac{25}{16}y$
B) $x = \pm \frac{4}{5}y$
C) $y = \pm \frac{5}{4}x$
D) $y = \pm \frac{4}{5}x$
Explanation
(d)
Given hyperbola is
$\frac{x^{2}}{25} - \frac{y^{2}}{16} = 1\$
Here, $a = 5$ and $b = 4$
Asymptotes are $y = \pm \frac{4}{5}x$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.