Determine whether the graph of the equation is a circle or an ellipse.
-$$9 x ^ { 2 } + 90 x + 25 y ^ { 2 } - 50 y + 25 = 0$$
A) Circle
B) Ellipse

Question

Quizplus · Accepted Answer

The equation represents an ellipse because the coefficients of $x^2$ and $y^2$ are different (9 and 25, respectively), indicating that the graph will be stretched differently along the x-axis and y-axis, which is characteristic of an ellipse. In contrast, a circle would have equal coefficients for $x^2$ and $y^2$.

Determine Whether the Graph of the Equation Is a Circle 9x2+90x+25y2−50y+25=09 x ^ { 2 } + 90 x + 25 y ^ { 2 } - 50 y + 25 = 09x2+90x+25y2−50y+25=0

Determine Whether the Graph of the Equation Is a Circle $9 x ^ { 2 } + 90 x + 25 y ^ { 2 } - 50 y + 25 = 0$