1.

If e_(1) is the eccentricity of the ellipse x^(2)/16+y^(2)/25=1 and e_(2) is the eccentricity of a hyperbola passing through the foci of the given ellipse and e_(1)e_(2)=1, then the equation of such a hyperbola among the following is

Answer»

`x^(2)/(16)+y^(2)/(25)=1`
`(x^(2))/(16)-y^(2)/9=-1`
`x^(2)/9-y^(2)/(25)=1`
`x^(2)/(16)-y^(2)/9=1`

ANSWER :B


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