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} $ .



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