Identify the Equation Without Applying a Rotation of Axes $$x ^ { 2 } - 3 x y - 3 y ^ { 2 } - 2 x - 3 y - 5 = 0$$

Multiple Choice

Identify the equation without applying a rotation of axes.
- $$x ^ { 2 } - 3 x y - 3 y ^ { 2 } - 2 x - 3 y - 5 = 0$$

A) parabola
B) ellipse
C) hyperbola
D) not a conic