Identify the Equation Without Applying a Rotation of Axes $$2 x ^ { 2 } + 8 x y + 16 y ^ { 2 } - 3 x - 2 y + 10 = 0$$

Multiple Choice

Identify the equation without applying a rotation of axes.
- $$2 x ^ { 2 } + 8 x y + 16 y ^ { 2 } - 3 x - 2 y + 10 = 0$$

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