A) \[\frac{2}{3}\]
B) \[\sqrt{\frac{2}{3}}\]
C) \[\frac{5\times 4\times 3}{{{7}^{3}}}\]
D) \[{{\left( \frac{3}{4} \right)}^{4}}\]
Correct Answer: B
Solution :
Latus rectum \[=1/3\](Major axis) Þ \[\frac{2{{b}^{2}}}{a}=\frac{2a}{3}\]Þ \[{{a}^{2}}=3{{b}^{2}}=3{{a}^{2}}(1-{{e}^{2}})\]Þ \[e=\sqrt{\frac{2}{3}}\].
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