Conic Sections Question 338
Question: If the distance between the foci of an ellipse be equal to its minor axis, then its eccentricity is
Options:
A) 1/2
B) $ 1/\sqrt{2} $
C) 1/3
D) $ 1/\sqrt{3} $
Show Answer
Answer:
Correct Answer: B
Solution:
Foci are $ (\pm ae,0) $ . Therefore according to the condition, $ 2ae=2b $ or $ ae=b $
Also, $ b^{2}=a^{2}(1-e^{2}) $
therefore $ e^{2}=(1-e^{2}) $
therefore $ e=\frac{1}{\sqrt{2}} $
BETA
