\begin{tikzpicture}
\clip (0,0) circle (2.3cm);
\tkzDefPoint(0,0){O}
\tkzDefPoint(2,0){A}
\tkzDefPoint(60:2){v}
\tkzDefPoint(150:1.3){p}
\tkzDefPoint(0:2){1}
\draw (-2,0)--(2,0);
\tkzDrawCircle[dashed,color=blue](O,A)
\tkzDrawPoints[fill=white](v,1)
\tkzLabelPoint[above](v){\(v\)}
\tkzLabelPoint[right =-2pt](1){\(1\)}
\tkzClipCircle(O,A)
\tkzDrawCircle[orthogonal through=p and v](O,A)
\tkzDrawPoints[fill=red](p,O)
\tkzLabelPoint[below](p){\(p\)}
\tkzLabelPoint[below](O){\(0\)}
\tkzDrawPoints[fill=white](v,1)
\draw (.7,1) node{\(L\)};
\draw (1,-.3) node{\(T(L)\)};
\draw[->] (150:1.2)--(150:.1);
\end{tikzpicture}