A) \[\frac{1}{\sqrt{5}}\]
B) \[\frac{1}{2}\]
C) \[\frac{3}{5}\]
D) \[\frac{4}{5}\]
Correct Answer: C
Solution :
Here,\[2ae=6\]and\[2b=8\Rightarrow b=4\] \[\Rightarrow \] \[{{b}^{2}}=16\] \[\Rightarrow \] \[{{a}^{2}}(1-{{e}^{2}})=16\] \[\Rightarrow \]\[\frac{9}{{{e}^{2}}}(1-{{e}^{2}})=16\] \[\Rightarrow \] \[9-9{{e}^{2}}=16{{e}^{2}}\]
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