Find the equation of the hyperbola with ...

Find the equation of the hyperbola with foci `(0,+-3)` and vertices `(0,+-(sqrt(11))/(2))`

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The correct Answer is:

`(y^(2))/((11/(4)))-(x^(2))/(((25)/(4)))=1,i.e.,100y^(2)-44x^(2)=275`

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