Conic Sections Question 252
Question: Latus rectum of ellipse $ 4x^{2}+9y^{2}-8x-36y+4=0 $ is
[MP PET 1989]
Options:
A) 8/3
B) 4/3
C) $ \frac{\sqrt{5}}{3} $
D) 16/3
Show Answer
Answer:
Correct Answer: A
Solution:
The ellipse is $ 4{{(x-1)}^{2}}+9{{(y-2)}^{2}}=36 $
Therefore, latus rectum $ =\frac{2b^{2}}{a}=\frac{2.4}{3}=\frac{8}{3} $ .