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The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

The ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` is such that it has the least area but contains the circle `(x-1)^(2)+y^(2)=1`
The eccentricity of the ellipse is

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The correct Answer is:
`2x^(2)+6y^(2) = 9`
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