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Let a hyperbola passes through the focus...

Let a hyperbola passes through the focus of the ellipse `(x^(2))/(25)-(y^(2))/(16)=1`. The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then

A

equation of hyperbola is `(x^(2))/(9)-(y^(2))/(16)=1`

B

focus of hyperbola is (5,0)

C

vertex of hyperbola is `(5sqrt(2),0)`

D

equation of hyperbola is `(x^(2))/(16)-(y^(2))/(25)=1`

Text Solution

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The correct Answer is:
B
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