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

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

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User Ronapelbaum
by
8.2k points

1 Answer

3 votes

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).
answered
User Richard Banks
by
8.0k points
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