Q. The length of latusrectum of hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ equals
A) $\frac{a}{e^{2} - 1}$
B) $2a\left( e^{2} - 1 \right)$
C) $2a^{2}\left( e^{2} - 1 \right)$
D) $\frac{e^{2} - 1}{2a}$
Explanation
(b)
The length of latusrectum of a hyperbola
$= \frac{2b^{2}}{a} = \frac{2a^{2}(e^{2} - 1)}{a} = 2a(e^{2} - 1)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.