A) \[-\frac{\sqrt{3}}{2}\]
B) \[\frac{1}{2}\]
C) \[\frac{\sqrt{5}}{2}\]
D) \[\frac{\sqrt{7}}{3}\]
E) \[\sqrt{3}\]
Correct Answer: B
Solution :
In\[\Delta CBF,\tan 30{}^\circ =\frac{FC}{b}\] \[FC=\frac{b}{\sqrt{3}}\] \[\Rightarrow \]\[ae=\frac{b}{\sqrt{3}}\]\[\Rightarrow \]\[{{a}^{2}}{{e}^{2}}=\frac{1}{2}[{{a}^{2}}(1-{{e}^{2}})]\] \[\Rightarrow \]\[4{{e}^{2}}=1\]\[\Rightarrow \]\[e=\frac{1}{2}\]You need to login to perform this action.
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