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There are exactly two points on the elli...

There are exactly two points on the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1` whose distance from its centre is the same and equal to `sqrt((a^(2) + 2b^(2))/(a^(2)))` . The eccentricity of the ellipse is

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The correct Answer is:
`(1)/(sqrt(2))`
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