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Let L L ' be the latus rectum through th...

Let `L L '` be the latus rectum through the focus of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` and `A '` be the farther vertex. If ` A ' L L '` is equilateral, then the eccentricity of the hyperbola is (axes are coordinate axes). (a) `sqrt(3)` (b) `sqrt(3)+1` `((sqrt(3)+1)/(sqrt(2)))` (d) `((sqrt(3)+1))/(sqrt(3))`

A

`sqrt(3)`

B

`sqrt(3)+1`

C

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

D

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

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Let L L ' be the latus rectum through the focus of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 and A ' be the farther vertex. If A ' L L ' is equilateral, then the eccentricity of the hyperbola is (axes are coordinate axes). (a) sqrt(3) (b) sqrt(3)+1 (c) ((sqrt(3)+1)/(sqrt(2))) (d) ((sqrt(3)+1))/(sqrt(3))

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