A) 4
B) 3
C) \[8\sqrt{2}\]
D) \[4\sqrt{2}\]
Correct Answer: C
Solution :
[c] : The ellipse is\[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\] \[{{S}_{1}}\equiv (-2,0),S\equiv (2,0)\] \[\Rightarrow \]\[{{S}_{1}}S=4=2ae=2a\times \frac{1}{3}\Rightarrow a=6\] \[\therefore \]\[{{b}^{2}}={{a}^{2}}(1-{{e}^{2}})=36\left( 1-\frac{1}{9} \right)=32\] \[b=4\sqrt{2}\]\[\therefore \]Minor axis\[=2b=8\sqrt{2}\].
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