\begin{tikzpicture}
\clip (0,0) circle (2.3cm);
\tkzDefPoint(0,0){O}
\tkzDefPoint(2,0){A}
\tkzDefPoint(.5,-.3){p}
\tkzDefPoint(.7,.3){q}
\tkzDrawCircle[dashed,color=blue](O,A)
\tkzDefPoint(-.3,-0.25){z}
\tkzDefPoint(-.8,-0.1){w}
\tkzClipCircle(O,A)
\tkzDrawCircle[orthogonal through=z and w](O,A)
\tkzDrawCircle[orthogonal through=p and q](O,A)
\draw (0,-2)--(0,2);
\tkzDrawPoints[size=8,fill=red](O)
\end{tikzpicture}