Identify the equation as a circle, a parabola, an ellipse, or a hyperbola. $16 x ^ { 2 } + 9 y ^ { 2 } - 98 x + 5 y + 224 = 0$
A)Ellipse
B)Parabola
C)Hyperbola
D)Circle
E)None of the above

Question

Identify the equation as a circle, a parabola, an ellipse, or a hyperbola.  $16 x ^ { 2 } + 9 y ^ { 2 } - 98 x + 5 y + 224 = 0$ 
A)Ellipse
B)Parabola
C)Hyperbola
D)Circle
E)None of the above

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 $A \neq B$, which is characteristic of an ellipse.

Identify the Equation as a Circle, a Parabola, an Ellipse 16x2+9y2−98x+5y+224=016 x ^ { 2 } + 9 y ^ { 2 } - 98 x + 5 y + 224 = 016x2+9y2−98x+5y+224=0

Identify the Equation as a Circle, a Parabola, an Ellipse $16 x ^ { 2 } + 9 y ^ { 2 } - 98 x + 5 y + 224 = 0$