If the area of the auxillary circle of the ellipse \frac{x^2}{a^2}+\frac{y^2}{b^2}=1(a>b) is twice the area of the ellipse, then the eccentricity of the ellipse is

COMEDK Exam 2020 Solved Paper

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If the area of the auxillary circle of the ellipse ‌

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=1(a>b) is twice the area of the ellipse, then the eccentricity of the ellipse is

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