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If the eccentricity of the hyperbola (x ...

If the eccentricity of the hyperbola `(x ^(2))/(a ^(2)) -(y ^(2))/(b ^(2)) =1 ` is `(5)/(4) and 2x + 3y - 6 =0` is a focal chord of the hyperbola, then the length of transvers axis is equal to a)`12//5` b)`6` c)`24//7` d)`24//5`

A

`12//5`

B

`6`

C

`24//7`

D

`24//5`

Text Solution

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The correct Answer is:
D
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