Question

The length of the Latus rectum of a hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ is.

• A. $\frac{-2b^2}{a}$
• B. $\frac{b^2}{a}$
• C. $\frac{2a^2}{b}$
• D. $\frac{2b^2}{a}$

Answer 1

The correct option is D $\frac{2b^2}{a}$

Length of latus rectum = PQ$=|\frac{b^2}{a}-(-\frac{b^2}{a})|$
$=\frac{2b^2}{a}$