Conic Sections Question 391
Question: The eccentricity of the ellipse $ 25x^{2}+16y^{2}-150x-175=0 $ is
[Kerala (Engg.) 2005]
Options:
A) 2/5
B) 2/3
C) 4/5
D) 3/4
E) 3/5
Show Answer
Answer:
Correct Answer: E
Solution:
$ 25{{(x-3)}^{2}}+16y^{2}=400 $
$ \frac{{{(x-3)}^{2}}}{16}+\frac{y^{2}}{25}=1 $
$ e=\sqrt{1-\frac{16}{25}}=\frac{3}{5} $