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\begin{tikzpicture}[scale=.75,rotate=-30]
\tkzDefPoint(0,0){O}
\tkzDefPoint(4,-5){A}
\tkzDefIntSimilitudeCenter(O,3)(A,1) \tkzGetPoint{I}
\tkzExtSimilitudeCenter(O,3)(A,1) \tkzGetPoint{J}
\tkzDefTangent[from with R= I](O,3 cm) \tkzGetPoints{D}{E}
\tkzDefTangent[from with R= I](A,1 cm) \tkzGetPoints{D'}{E'}
\tkzDefTangent[from with R= J](O,3 cm) \tkzGetPoints{F}{G}
\tkzDefTangent[from with R= J](A,1 cm) \tkzGetPoints{F'}{G'}
\tkzDrawCircle[R,fill=red!50,opacity=.3](O,3 cm)
\tkzDrawCircle[R,fill=blue!50,opacity=.3](A,1 cm)
\tkzDrawSegments[add = .5 and .5,color=red](D,D' E,E')
\tkzDrawSegments[add= 0 and 0.25,color=blue](J,F J,G)
\tkzDrawPoints(O,A,I,J,D,E,F,G,D',E',F',G')
\tkzLabelPoints[font=\scriptsize](O,A,I,J,D,E,F,G,D',E',F',G')
\end{tikzpicture}
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