If the Equation Represents a Hyperbola, Find the Center, Foci $$x ^ { 2 } + y ^ { 2 } - 6 x + 4 y + 13 = 25$$

Multiple Choice

If the equation represents a hyperbola, find the center, foci, and asymptotes. If the equation represents an ellipse, find the center, vertices, and foci. If the equation represents a circle, find the center and radius. If the equation represents a parabola, find the focus and directrix.
- $$x ^ { 2 } + y ^ { 2 } - 6 x + 4 y + 13 = 25$$

A) (2, -3) ; r = 25
B) (3, -2) ; r = 5
C) (-2, 3) ; r = 5
D) (-3, 2) ; r = 25