Conic Sections Question 337
Question: Eccentricity of the conic $ 16x^{2}+7y^{2}=112 $ is
[MNR 1981]
Options:
A) $ 3/\sqrt{7} $
B) 7/16
C) 3/4
D) 4/3
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{x^{2}}{\frac{112}{16}}+\frac{y^{2}}{\frac{112}{7}}=1 $ . Therefore, $ e=\sqrt{1-\frac{112}{16}.\frac{7}{112}}=\frac{3}{4} $