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} $ .