Conic Sections Question 270
Question: The eccentricity of the ellipse $ 9x^{2}+5y^{2}-30y=0 $ , is
[MNR 1993; Pb. CET 2004]
Options:
1/3
2/3
3/4
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ 9x^{2}+{{(\sqrt{5}y-3\sqrt{5})}^{2}}=45 $ or $ \frac{x^{2}}{5}+\frac{{{(y-3)}^{2}}}{9}=1 $
therefore $ a^{2}=5, $
$ b^{2}=9 $ . Therefore $ e=\frac{2}{3} $ .
BETA
