What does the equation x^2+y^2=0 represent?

Is it a circle of radius 0? I don't think it is because that really doesn't make sense. Wouldn't it just be the degenerate conic of a point? (i.e. the point (0,0))

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- Nov 27th 2011, 07:54 PMtwittytwitterCircles with radius 0?
What does the equation x^2+y^2=0 represent?

Is it a circle of radius 0? I don't think it is because that really doesn't make sense. Wouldn't it just be the degenerate conic of a point? (i.e. the point (0,0)) - Nov 27th 2011, 07:57 PMProve ItRe: Circles with radius 0?
- Nov 28th 2011, 05:03 AMHallsofIvyRe: Circles with radius 0?
But it is, strictly speaking, incorrect to talk about a "circle with radius 0". It is perfectly valid to call it a "degenerate conic section".

- Nov 28th 2011, 03:32 PMProve ItRe: Circles with radius 0?