Find the equation of the hyperbola with ...

Find the equation of the hyperbola with
(i) vertices (`pm`5,0), foci (`pm`7,0)
(ii) Vertices (0,`pm`7), e=`7/3`,
(iii) Foci (0,`pmsqrt10`), passing through (2,3).

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The correct Answer is:

`(x^2)/(25)-(y^2)/(24)=1`

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