In each of the, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.

5y² – 9x² = 36

The given equation is 5y² – 9x² = 36

We can re-write the given as

Or ……….. (1)

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

, we get,

a = and b =2

We know, a² + b² = c²

Thus,

c² = =

⇒ c =

Therefore,

The coordinates of the foci are

The coordinates of the vertices are .

Eccentricity, e =

Length of latus rectum =