A) 1/2
B) \[1/\sqrt{2}\]
C) \[\sqrt{3}/2\]
D) \[1/2\sqrt{2}\]
Correct Answer: B
Solution :
Since \[\angle \,FBF'=\frac{\pi }{2}\] (Given) \[\therefore \]\[\angle \,FBC=\,\angle \,F'BC=\pi /4\] \[CB=CF\Rightarrow \,\,b=ae\] Þ \[{{b}^{2}}={{a}^{2}}{{e}^{2}}\] Þ \[{{a}^{2}}(1-{{e}^{2}})={{a}^{2}}{{e}^{2}}\] Þ \[1-{{e}^{2}}={{e}^{2}}\] Þ \[2{{e}^{2}}=1\] Þ \[e=1/\sqrt{2}\].You need to login to perform this action.
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