Find the standard equation of hyperbola in each of the following cases:
(i) Distance between the foci of hyperbola is 16 and its eccentricity is `sqrt2.`
(ii) Vertices of hyperbola are `(pm4,0)` and foci of hyperbola are `(pm6,0)`.
(iii) Foci of hyperbola are `(0,pmsqrt(10))` and it passes through the point (2,3).
(iv) Distance of one of the vertices of hyperbola from the foci are 3 and 1.

Answer

`y^(2)-x^92)=5`