Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. $$4 x ^ { 2 } + 4 y ^ { 2 } + 3 x + 7 y - 6 = 0$$
A) parabola
B) circle
C) ellipse
D) hyperbola

Question

Quizplus · Accepted Answer

The equation $4x^2 + 4y^2 + 3x + 7y - 6 = 0$ represents a circle because the coefficients of $x^2$ and $y^2$ are equal and positive, and there are no $xy$ terms.

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