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\documentclass[12pt]{exam}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{positioning}
\usetikzlibrary{calc,through,backgrounds}
\begin{document}
\section*{Figure 1.3}
\begin{tikzpicture}[scale=2]
\coordinate [label=left:$O$] (O) at (0,0);
\coordinate [label=left:$A$] (A) at (-1,0);
\coordinate [label=left:$B$] (B) at (1,0);
\coordinate [label=right:$C$] (C) at (3,0);
\coordinate [label=above:$P$] (P) at (2,0);
\node[draw,circle through=(A)--(B)]{};
\node[draw,circle through=(B)--(C)]{};
\filldraw[black](A) circle (1pt);
\filldraw[black](B) circle (1pt);
\filldraw[black](O) circle (1pt);
\filldraw[black](P) circle (1pt);
\filldraw[black](C) circle (1pt);
\end{tikzpicture}
\end{document}