\begin{tikzpicture}
\clip (0,0) circle (2.5cm);
\tkzDefPoint(0,0){o}
\tkzDefPoint(2,0){a}
\tkzDefPoint(130:1.2){p}
\tkzDefPoint(80:1.4){q}
\tkzDefPoint(1.2,0){x}
\tkzDefPoint(-2,0){b}
\draw (b)--(a);
\draw[very thick, color=blue](o)--(x);
\tkzDrawCircle[dashed,color=blue](o,a)
\tkzDefCircle[orthogonal through=p and q](o,a) \tkzGetPoint{c}
\tkzInterCC(o,a)(c,p) \tkzGetPoints{v}{u}
\tkzDrawArc(c,v)(u)
\tkzDrawArc[very thick, color=blue](c,p)(q)
\tkzDrawPoints[size=2,fill=red](o,p,q,x)
\tkzDrawPoints[size=2,fill=white](u,v,b,a)
\tkzLabelPoints[below](p,q,x)
\tkzLabelPoint[below right=-3pt](a){\(1\)}
\tkzLabelPoint[below](o){\(0\)}
\tkzLabelPoint[above](u){\(u\)}
\tkzLabelPoint[left](v){\(v\)}
\tkzLabelPoint[below left=-3pt](b){\(-1\)}
\draw (.4,.6) node{\(T\)};
\draw[->] (-.08,.8)--(.4,.2);
\end{tikzpicture}