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Two fixed circles with radii {r}_{{1}}{a}{n}{d}{r}_{{2}},{({r}
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Two fixed circles with radii , respectively, touch each other externally. Then identify the locus of the point of intersection of their direction common tangents.

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Two fixed circles with radii , respectively, touch each other externally. Then identify the locus of the point of intersection of their direction common tangents.
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Question Text
Two fixed circles with radii , respectively, touch each other externally. Then identify the locus of the point of intersection of their direction common tangents.