Question:
The length of the semi-latus rectum of an ellipse is one third of its major axis. Its eccentricity would be
The length of the semi-latus rectum of an ellipse is one third of its major axis. Its eccentricity would be
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Remember: major axis length =2a.
Updated On: Mar 20, 2026
- \(\dfrac23\)
- \(\sqrt{\dfrac23}\)
- \(\dfrac{1}{\sqrt3}\)
- (1)/(\sqrt2)
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The Correct Option is D
Solution and Explanation
Semi-latus rectum:
l=(b²)/(a)
Given:
(b²)/(a)=(2a)/(3)
⟹ b²=(2a²)/(3)
e=√(1-(b²)/(a²))=√(1-\frac23)=\frac1\sqrt2
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