Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. $$7 x ^ { 2 } + 7 y ^ { 2 } - 7 x + 9 y - 2 = 0$$
A) ellipse
B) parabola
C) circle
D) hyperbola

Question

Quizplus · Accepted Answer

The equation $7x^2 + 7y^2 - 7x + 9y - 2 = 0$ represents a circle because both $x^2$ and $y^2$ terms have the same coefficient (after factoring out any common factors), and there are no $xy$ terms.

Classify the Graph of the Equation as a Circle, a Parabola