Question

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 9y² – 4x² = 36

Answer 1

The given equation is 9y² – 4x² = 36.

It can be written as

9y² – 4x² = 36

On comparing equation (1) with the standard equation of hyperbola i.e.,, we obtain a = 2 and b = 3.

We know that a² + b² = c².

Therefore,

The coordinates of the foci are.

The coordinates of the vertices are.

Length of latus rectum