Problem :
Is the following conic a parabola, an ellipse, a circle, or a
hyperbola: -3x^{2} + y + 2 = 0?
It is a parabola.
Problem :
Is the following conic a parabola, an ellipse, a circle, or a hyperbola: 2x^{2} +3xy - 4y^{2} + 2x - 3y + 1 = 0?
It is a hyperbola.
Problem :
Is the following conic a parabola, an ellipse, a circle, or a hyperbola: 2x^{2} -3y^{2} = 0?
It is a hyperbola.
Problem :
Is the following conic a parabola, an ellipse, a circle, or a hyperbola: -3x^{2} + xy - 2y^{2} + 4 = 0?
It is an ellipse or a circle.
Problem :
Is the following conic a parabola, an ellipse, a circle, or a hyperbola: x = 0?
It is a degenerate conic.
x = 0 is a line.