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Let Sa n dS ' be two foci of the ellipse...

Let `Sa n dS '` be two foci of the ellipse `(x^2)/(a^3)+(y^2)/(b^2)=1` . If a circle described on `S S^(prime)` as diameter intersects the ellipse at real and distinct points, then the eccentricity`e` of the ellipse satisfies `c=1/(sqrt(2))` (b) `e in (1/(sqrt(2)),1)` `e in (0,1/(sqrt(2)))` (d) none of these

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