If the Equation Represents a Hyperbola, Find the Center, Foci $$25 x ^ { 2 } + 4 y ^ { 2 } - 300 x - 40 y + 900 = 0$$

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.
- $$25 x ^ { 2 } + 4 y ^ { 2 } - 300 x - 40 y + 900 = 0$$

A) C: (6, 5) ; V: (8, 5) , (4, 5) ; F: (11.4, 5) , (0.6, 5)
B) C: (6, 5) ; V: (6, 10) , (6, 0) ; F: (6, 9.6) , (6, 0.4)
C) C: (6, 5) ; V: (11, 5) , (1, 5) ; F: (10.6, 5) , (1.4, 5)
D) C: (6,5) ; V: (6, 7) , (6, 3) ; F: (6, 10.4) , (6, -0.4)