A) \[e=1/\sqrt{2}\]
B) \[e\in (1/\sqrt{2,}1)\]
C) \[e\in (0,1/\sqrt{2,\,})\]
D) None of these
Correct Answer: B
Solution :
[b] The radius of circle having SS' as diameter is r=ae. If it cuts an ellipse, then r>b or ae>b or \[{{e}^{2}}>\frac{{{b}^{2}}}{{{a}^{2}}}\] or \[{{e}^{2}}>1-{{e}^{2}}\] or \[{{e}^{2}}>\frac{1}{2}\] or \[e>\frac{1}{\sqrt{2}}\] or \[e\in \left( \frac{1}{\sqrt{2}},1 \right)\]You need to login to perform this action.
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