Conic Sections Question 438
Question: The eccentricity of the hyperbola $ 2x^{2}-y^{2}=6 $ is
[MP PET 1992]
Options:
A) $ \sqrt{2} $
B) 2
C) 3
D) $ \sqrt{3} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ \frac{x^{2}}{(6/2)}-\frac{y^{2}}{6}=1 $
therefore $ a^{2}=3 $ and $ b^{2}=6 $
Therefore $ e=\sqrt{\frac{b^{2}}{a^{2}}+1} $
therefore $ e=\sqrt{3} $ .