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If a hyperbola passes through a focus of the ellipse `(x^2)/(25)+(y^2)/(16)=1` and its transverse and conjugate axes coincide with major and minor axes of the ellipse, and the product of their eccentricityis 1, then

A

`x^(2)/(16)+y^(2)/(25)=1`

B

`(x^(2))/(16)-y^(2)/9=-1`

C

`x^(2)/9-y^(2)/(25)=1`

D

`x^(2)/(16)-y^(2)/9=1`

Text Solution

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The correct Answer is:
B
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