A) \[\frac{4}{3}\]
B) \[\frac{4}{\sqrt{3}}\]
C) \[\frac{2}{\sqrt{3}}\]
D) \[\sqrt{3}\]
Correct Answer: C
Solution :
\[2b=\frac{1}{2}\,(2ae)\,=4{{b}^{2}}\,={{a}^{2}}{{e}^{2}}\] \[\Rightarrow \,4{{b}^{2}}\,={{a}^{2}}+{{b}^{2}}\,\Rightarrow \,3{{b}^{2}}={{a}^{2}}\] Hence, \[{{e}^{2}}=1+\frac{{{b}^{2}}}{{{a}^{2}}}\,=1+\frac{1}{3}\,=\frac{4}{3}\Rightarrow \,e=\frac{2}{\sqrt{3}}\]You need to login to perform this action.
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