Identify Conics Without Rotating Axes
-$$3 x ^ { 2 } + 3 x y + 2 y ^ { 2 } + 2 x + 2 y - 7 = 0$$
A) ellipse
B) circle
C) parabola
D) hyperbola

Question

Quizplus · Accepted Answer

The given equation represents an ellipse because it is a second-degree equation with both $x^2$ and $y^2$ terms present, and the coefficients of $x^2$ and $y^2$ are both positive but not equal, indicating that the graph is an ellipse.

Identify Conics Without Rotating Axes - 3x2+3xy+2y2+2x+2y−7=03 x ^ { 2 } + 3 x y + 2 y ^ { 2 } + 2 x + 2 y - 7 = 03x2+3xy+2y2+2x+2y−7=0

Identify Conics Without Rotating Axes
- $3 x ^ { 2 } + 3 x y + 2 y ^ { 2 } + 2 x + 2 y - 7 = 0$