Conic Sections Question 246
Question: The eccentricity of the ellipse $ 9x^{2}+5y^{2}-18x-2y-16=0 $ is
[EAMCET 2003]
Options:
A) 1/2
B) 2/3
C) 1/3
D) 3/4
Show Answer
Answer:
Correct Answer: B
Solution:
Given equation can be written as $ \frac{{{(x-1)}^{2}}}{5}+\frac{{{(y-2)}^{2}}}{9}=1 $ ; $ e=\sqrt{\frac{b^{2}-a^{2}}{b^{2}}}=\sqrt{\frac{9-5}{9}}=\frac{2}{3} $ .
BETA
