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$\mathrm{S}=\{\mathrm{z} \in \mathrm{C} /|\mathrm{z}-1+\mathrm{i}|=1\}$ represents
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The correct answer is:
a circle with centre $(1,-1)$ and radius 1 unit
Since $|z-1+i|=1 \Rightarrow|z-(1-i)|=1$
So, $\mathrm{S}$ represent a circle with centre $(1,-1)$ and radius 1
So, $\mathrm{S}$ represent a circle with centre $(1,-1)$ and radius 1
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