Conic Sections Question 465
Question: The eccentricity of the ellipse $ 4x^{2}+9y^{2}+8x+36y+4=0 $ is
[MP PET 1996]
Options:
A) $ \frac{5}{6} $
B) $ \frac{3}{5} $
C) $ \frac{\sqrt{2}}{3} $
D) $ \frac{\sqrt{5}}{3} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ 4x^{2}+8x+4+9y^{2}+36y+36=36 $
$ \Rightarrow \frac{{{(x+1)}^{2}}}{9}+\frac{{{(y+2)}^{2}}}{4}=1 $ ; $ e=\sqrt{1-\frac{4}{9}}=\frac{\sqrt{5}}{3} $ .
BETA
