4. Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.
Given a Hyperbola equation,
Can also be written as
Comparing this equation with the standard equation of the hyperbola:
Now, As we know the relation in a hyperbola,
Coordinates of the foci:
The Coordinates of vertices:
The Length of the latus rectum :