Indicate whether the equation represents an ellipse, hyperbola, circle, or parabola. In equations that contain bothth $x ^ { 2 }$ 2 and $y ^ { 2 }$ terms, divide both terms, divide bothsides of the equation by the constant term to put the equation in a more recognizable form.
-$5 x ^ { 2 } + 5 y ^ { 2 } - 12 y = 2$
A)Hyperbola
B)Circle
C)Parabola
D)Ellipse

Question

Quizplus · Accepted Answer

The equation can be rewritten as $5(x^2 + y^2 - \frac{12}{5}y) = 2$. Completing the square for the $y$ terms and simplifying, it becomes $(x^2 + (y - \frac{6}{5})^2) = \frac{2}{5}$, which is a circle equation.

Indicate Whether the Equation Represents an Ellipse, Hyperbola, Circle, or Parabola