Conic Sections Question 359

Question: The length of the latus rectum of the ellipse $ \frac{x^{2}}{36}+\frac{y^{2}}{49}=1 $

[Karnataka CET 1993]

Options:

A) 98/6

B) 72/7

C) 72/14

D) 98/12

Show Answer

Answer:

Correct Answer: B

Solution:

Here $ a^{2}=36 $ , $ b^{2}=49 $ . Since $ b>a $ , so the length of the latus rectum $ =\frac{2a^{2}}{b}=2\times \frac{36}{7}=\frac{72}{7} $ .