Question

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 49y² – 16x² = 784

Answer 1

The given equation is 49y² – 16x² = 784.

It can be written as
49y² – 16x² = 784

On comparing equation (1) with the standard equation of hyperbola i.e.,, we obtain a = 4 and b = 7.

We know that a² + b² = c².

Therefore,

The coordinates of the foci are.

The coordinates of the vertices are (0, ±4).

Length of latus rectum