Classify the graph of the equation below as a circle, a parabola, an ellipse, or a hyperbola.
$$36 x ^ { 2 } + 16 y ^ { 2 } + 144 x + 20 y - 335 = 0$$
A) hyperbola
B) parabola
C) ellipse
D) circle

Question

Quizplus · Accepted Answer

The given equation is of the form $Ax^2 + By^2 + Cx + Dy + E = 0$, where $A$ and $B$ are both positive and not equal, which indicates an ellipse.

Classify the Graph of the Equation Below as a Circle 36x2+16y2+144x+20y−335=036 x ^ { 2 } + 16 y ^ { 2 } + 144 x + 20 y - 335 = 036x2+16y2+144x+20y−335=0

Classify the Graph of the Equation Below as a Circle $36 x ^ { 2 } + 16 y ^ { 2 } + 144 x + 20 y - 335 = 0$