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The equation x^2+y2-4x+2y=b describe a circle

1 Answer

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x^2+y^2-4x+2y=b\implies~x^2-4x+4+y^2+2y+1=b+5\implies~(x-2)^2+(y+1)^2=b+5

This describes a circle centered at
(2,-1) with radius
√(b+5).
User Richard Banks
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