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the question says to sketch the set of points in the complex plane determined by the follow.

absvalue(z-(1-i))=1
this is my idea:
absvalue(z-(1-i))=
absvalue(z)-absvalue(1-i)
absvalue(z)-sqrt(2)=1
absvalue(z)=1-sqrt(2)
z=(1-sqrt(2))^2=1-2*sqrt(2)+2=3-2*sqrt(2)=
x^2+y^2
then what?

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