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\begin{tikzpicture}[scale=3]
\tkzDefPoint(0,0){O}
\tkzDefPoint(1,0){A}
\tkzDrawCircle(O,A)
\tkzDefPoint(0.5,-0.25){z1}
\tkzDefPoint(-0.5,-0.5){z2}
\tkzDefPointBy[inversion = center O through A](z1)
\tkzGetPoint{Z1}
\tkzCircumCenter(z1,z2,Z1)\tkzGetPoint{c}
\tkzDrawCircle(c,Z1)
\tkzDrawPoints[color=black,fill=red,size=4](O,z1,z2,Z1,O,A)
\end{tikzpicture}
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