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Identify the locus of z if z = a +(r^...

Identify the locus of `z` if ` z = a +(r^2)/(z-a),> 0.`

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`bar(z)=bar(a)+(r^(2))/(z-a)`
or `bar(z)-bar(a)=(r^(2))/(z-a)`
or `(z-a)(bar(z)-bar(a))=r^(2)`
or `|z-a|^(2)=r^(2)`
or `|z-a|=r`
Hence, locus of z is circle having center a and radius r.
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