A) \[\frac{1}{\sqrt{3}}\]
B) \[\frac{2\sqrt{2}}{3}\]
C) \[\frac{1}{\sqrt{2}}\]
D) \[\frac{1}{3}\]
Correct Answer: B
Solution :
Let major axis is o and minor axis is b. Given, \[a=3b\] \[\therefore \]Eccentricity, \[e=\sqrt{1-\frac{{{b}^{2}}}{{{a}^{2}}}}\] \[\Rightarrow \] \[e=\sqrt{1-\frac{{{b}^{2}}}{9{{b}^{2}}}}\] \[\Rightarrow \] \[3=\sqrt{\frac{9-1}{9}}\] \[=\frac{2\sqrt{2}}{3}\]
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