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If e(1) is the eccentricity of the ellip...

If `e_(1)` is the eccentricity of the ellipse `(x^(2))/(16)+(y^(2))/(25)=1` and `e_(2)` is the eccentricity of the hyperbola passing through the foci of the ellipse and `e_(1) . e_(2)=1`, then the equation of the hyperbola

A

`(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`

B

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

C

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

D

none of these

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The correct Answer is:
B
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