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A circle of maximum area is inscribed in...

A circle of maximum area is inscribed in an ellipse. If p is the probability that a point within the ellipse chosen at random lies outside the circle, then the eccentricity of the ellipse is

A

`sqrt(1-p)`

B

`sqrt(1-(1-p)^(2))`

C

`sqrt(1-p^(2))`

D

`sqrt((1+p)^(2)-1)`

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The correct Answer is:
B
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