Identify the Equation Without Applying a Rotation of Axes $$3 x ^ { 2 } + 8 x y + 2 y ^ { 2 } + 3 x + 2 y + 10 = 0$$

Multiple Choice

Identify the equation without applying a rotation of axes.
- $$3 x ^ { 2 } + 8 x y + 2 y ^ { 2 } + 3 x + 2 y + 10 = 0$$

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