The length of the transverse axis of a h...

The length of the transverse axis of a hyperbola is `2 cos alpha.` The foci of the hyperbola are the same as that of the ellipse `9x ^(2) + 16y ^(2) = 144.` Find the equation of the hyperbola

A

`(x ^(2))/( cos ^(2) alpha ) - (y ^(2))/( 7- cos ^(2) alpha ) =1 `

B

`(x ^(2))/( cos ^(2) alpha )- (y ^(2))/( 7 + cos ^(2) alpha ) = 1 `

C

`(x ^(2))/( 1 + cos ^(2) alpha ) - (y ^(2))/( 7- cos ^(2) alpha ) =1 `

D

`(x ^(2))/( 1 + cos ^(2) alpha ) - (y ^(2))/( 7 + cos ^(2) alpha )=1`

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The correct Answer is:

A

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