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} $