Question

Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 16x² – 9y² = 576

Answer 1

The given equation is 16x² – 9y² = 576.
It can be written as
16x² – 9y² = 576

On comparing equation (1) with the standard equation of hyperbola i.e.,, X²/a² - Y²/b² =1 we obtain a = 6 and b = 8.
We know that a² + b² = c².