# 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 =

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