Identify the equation as a circle,a parabola,an ellipse,or a hyperbola. $$3 x ^ { 2 } - 3 y ^ { 2 } - 3 x + 6 y + 17 = 0$$
A)Circle
B)Hyperbola
C)Ellipse
D)Parabola
E)None of the above

Question

Identify the equation as a circle,a parabola,an ellipse,or a hyperbola.​ $$3 x ^ { 2 } - 3 y ^ { 2 } - 3 x + 6 y + 17 = 0$$ ​
A)Circle
B)Hyperbola
C)Ellipse
D)Parabola
E)None of the above

Quizplus · Accepted Answer

The given equation is of the form $Ax^2 - By^2 + Cx + Dy + E = 0$, where $A = B = 3$ but with opposite signs for $x^2$ and $y^2$ terms. This indicates that the equation represents a hyperbola.

Identify the Equation as a Circle,a Parabola,an Ellipse,or a Hyperbola 3x2−3y2−3x+6y+17=03 x ^ { 2 } - 3 y ^ { 2 } - 3 x + 6 y + 17 = 03x2−3y2−3x+6y+17=0

Identify the Equation as a Circle,a Parabola,an Ellipse,or a Hyperbola $3 x ^ { 2 } - 3 y ^ { 2 } - 3 x + 6 y + 17 = 0$