# 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.9y2 – 4x2 = 36

The given equation is 9y2 – 4x2 = 36

We can re-write the given as or ………..(1)

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

a = 2 and b =3

We know, a2 + b2 = c2

Thus,

c2 = 4 + 9 = 13

c = Therefore,

The coordinates of the foci are (0, ).

The coordinates of the vertices are (0, 2).

Eccentricity, e = Length of latus rectum = Rate this question :

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