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.

Question

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. 5y 2 – 9x 2 = 36

Philoid · Accepted Answer

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 =

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

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