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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^2)+(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 (a)`e=1/(sqrt(2))` (b) `e in (1/(sqrt(2)),1)` (c) `e in (0,1/(sqrt(2)))` (d) none of these

A

`e=(1)/(sqrt(2))`

B

`e in ((1)/(sqrt(2)),1)`

C

`e in (0,(1)/(sqrt(2)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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