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Sasidhar Vanga · Answer 1 · 2016-02-15T02:06:16+0000

4 common tangents = circles do not touch
3 common tangents = circles touch at one point
2 common tangents = circles overlap
1 common tangent = circles touch at one point and one is inside the other
0 common tangents = circles do not touch and one is inside the other

Refer to the image if you need to

If for two given circles exactly two common tangents are possible, the circles-example-1

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