Two circles can have: 0 tangents (one inside the other, non-touching), 1 (internally touching), 2 (intersecting), 3 (externally touching), or 4 (non-intersecting, apart). Direct common tangents don't cross the line joining centres; transverse ones do.
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Class 10 · Mathematics (Standard) · Unit 10: Circles
Common Tangents to Two Circles
Lesson 6 of 6