In each of

The given equation is 49y² – 16x² = 784

We can re-write the given as

Or ……….. (1)

On comparing this equation (1) with the standard equation of hyperbola

, we get,

a = 4 and b =7

We know, a² + b² = c²

Thus,

c² = 16 + 49 = 65

⇒ c =

Therefore,

The coordinates of the foci are (0, ).

The coordinates of the vertices are (0, 4).

Eccentricity, e =

Length of latus rectum =