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Find the range of eccentricity of the el...

Find the range of eccentricity of the ellipse `x^2/a^2+y^2/b^2=1`, (where a > b) such that the line segment joining the foci does not subtend a right angle at any point on the ellipse.

A

`(0,(1)/(2))`

B

`(0,(1)/(sqrt(3)))`

C

`(0,(3)/(4))`

D

none of these

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The correct Answer is:
B
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