The general form of a second-degree quadratic in 2 variables is

.

We have to check the expression to determine the type of conic.

If , then we have a hyperbola.

If , then we have a parabola.

If , then we have either a circle or an ellipse. If B = 0 and A = C, then we have a circle. Otherwise, it's an ellipse.

Now try your problem. B = 0 and A = 2...

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