Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. $100 x ^ { 2 } + 100 y ^ { 2 } - 100 x + 400 y + 403 = 0$
A)Parabola
B)Hyperbola
C)Circle
D)Ellipse
E)None of the above

Question

Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.  $100 x ^ { 2 } + 100 y ^ { 2 } - 100 x + 400 y + 403 = 0$ 
A)Parabola
B)Hyperbola
C)Circle
D)Ellipse
E)None of the above

Quizplus · Accepted Answer

The given equation is of the form $Ax^2 + Ay^2 + Bx + Cy + D = 0$, where $A = 100$ for both $x^2$ and $y^2$ terms, indicating that the coefficients of $x^2$ and $y^2$ are equal and positive. This suggests that the graph is a circle.

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