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If the latus rectum of a hyperbola forms...

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the centre of the hyperbola, then find the eccentricity of the hyperbola.

A

`(sqrt(5)+1)/(2)`

B

`(sqrt(11)+1)/(2)`

C

`(sqrt(13)+1)/(sqrt(3))`

D

`(sqrt(13)+1)/(2sqrt(3))`

Text Solution

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The correct Answer is:
D
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