Question

The latus rectum of the ellipse $5x^2+9y^2=45$ is

• A. $\frac{10}{3}$
• B. $\frac{5}{3}$
• C. $\frac{5\sqrt{5}}{3}$
• D. $\frac{10\sqrt{5}}{3}$

Answer 1

Answer: (A)

Given ellipse is $\frac{x^2}{9}+\frac{y^2}{5}=1$
Here $a^2=9,b^2=5$
Latus Rectum $=\frac{2b^2}{a}=2\cdot \frac{5}{3}$
$=\frac{10}{3}$