Conic Sections Question 209

Question: If the foci and vertices of an ellipse be $ (\pm 1,\ 0) $ and $ (\pm 2,\ 0) $ , then the minor axis of the ellipse is

Options:

A) $ 2\sqrt{5} $

B) 2

C) 4

D) $ 2\sqrt{3} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ ae=1 $ , $ a=2 $ , $ e=\frac{1}{2} $

therefore $ b=\sqrt{4( 1-\frac{1}{4} )}=\sqrt{3} $

Hence minor axis $ =2\sqrt{3} $ .