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} $ .