Find the eccentri

Given: 9x² – 16y² = 144

To find: eccentricity(e), coordinates of the foci f(m,n), equation of directrix, length of latus-rectum of hyperbola.

9x² – 16y² = 144

Formula used:

For hyperbola

Eccentricity(e) is given by,

Foci is given by (±ae, 0)

Equation of directrix are:

Length of latus rectum is

Here, a = 4 and b = 3

⇒ c = 5

Therefore,

Foci: (±5, 0)

Equation of directrix are:

Length of latus rectum,