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.

The given equation is
or ![]()
On comparing this equation with the standard equation of hyperbola
, we get,
a = 4 and b = 3,
We know, a2 + b2 = c2
Thus,
c2 = 42 + 32 =25
⇒ c = 5
Therefore,
The coordinates of the foci are (
5,0).
The coordinates of the vertices are (
4, 0).
Eccentricity, e = ![]()
Length of latus rectum = ![]()