Conic Sections Question 332
Question: The length of the latus rectum of the ellipse $ 5x^{2}+9y^{2}=45 $ is
[MNR 1978, 80, 81]
Options:
A) $ \sqrt{5}/4 $
B) $ \sqrt{5}/2 $
C) 5/3
D) 10/3
Show Answer
Answer:
Correct Answer: D
Solution:
Here the ellipse is $ \frac{x^{2}}{9}+\frac{y^{2}}{5}=1 $ . Latus rectum $ =\frac{2b^{2}}{a} $
$ =\frac{2\cdot 5}{3}=\frac{10}{3} $ .
BETA
