Properties Of An Implicitly Defined Circle

Question

All of the following statements about the implicit equation $$x^2+y^2-4=0$$ are true EXCEPT:

Accepted Answer

The equation $$x^2+y^2-4=0$$ represents a hyperbola.

Answer

For any $$x$$ such that $$-2 < x < 2$$, there exist two corresponding $$y$$ values (one positive and one negative).

Answer

The graph of the equation is symmetric about both the x-axis and the y-axis.

Answer

Rewriting the equation as $$x^2+y^2=4$$ shows that it represents a circle with radius 2.

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