Conic Sections Question 352
Question: If the length of the major axis of an ellipse is three times the length of its minor axis, then its eccentricity is
[EAMCET 1990]
Options:
A) $ \frac{1}{3} $
B) $ \frac{1}{\sqrt{3}} $
C) $ \frac{1}{\sqrt{2}} $
D) $ \frac{2\sqrt{2}}{3} $
Show Answer
Answer:
Correct Answer: D
Solution:
Major axis = 3(Minor axis)
therefore $ 2a=3(2b) $
therefore $ a^{2}=9b^{2}=9a^{2}(1-e^{2}) $
therefore $ e=\frac{2\sqrt{2}}{3} $ .
BETA
