If the latus rectum of an hyperbola be 8...

If the latus rectum of an hyperbola be 8 and eccentricity be `(3)/( sqrt5)` the the equation of the hyperbola is

A

`4x ^(2) - 5y ^(2) =100`

B

` 5x ^2 - 4y ^(2) =100`

C

` 4x ^(2) + 5y ^(2) =100`

D

`5x ^(2) + 4y ^(2) =100`

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The correct Answer is:

A

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