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The length of the latus rectum of an ellipse is $\large\frac{1}{3}$ of the major axis. It's $e$ is :

\[(a)\;\frac{2}{3} \quad (b)\;\sqrt {\frac{2}{3}} \quad (c)\;\frac{5.4.3}{7^3} \quad (d)\;\bigg(\frac{3}{4}\bigg)^4\]

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$(b)\;\large\sqrt {\frac{2}{3}} $
answered Nov 7, 2013 by pady_1

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