The equation 9x2−16y2=144 represents a hyperbola.
a. (a) Rewrite the equation in standard form.
b. (b) Determine the values of a,b and c.
c. (c) Find the coordinates of the vertices.
d. (d) Find the coordinates of the foci.
e. (e) Calculate the length of the latus rectum and the eccentricity of the hyperbola.