Conic Sections Question 407
Question: If (4, 0) and (-4, 0) be the vertices and (6, 0) and (-6, 0) be the foci of a hyperbola, then its eccentricity is
Options:
A) 5/2
B) 2
C) 3/2
D) $ \sqrt{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
Vertices $ (\pm 4,0)\equiv (\pm a,0) $
therefore $ a=4 $
Foci $ (\pm 6,0)\equiv (\pm ae,0) $
therefore $ e=\frac{6}{4}=\frac{3}{2} $ .