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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 distances from its center are the same and are equal to `(sqrt(a^2+2b^2))/2dot` Then the eccentricity of the ellipse is `1/2` (b) `1/(sqrt(2))` (c) `1/3` (d) `1/(3sqrt(2))`

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