Given two circles $C1$ and $C2$ how do I prove that the line joining their centers will pass through the point of intersection of their internal common tangents.I tried to form a linear pair and prove this but failed again and again.
2026-03-29 12:50:42.1774788642
Proving three points lie on a same line
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Hint: Each center is of equal distance to the (common) tangent lines, so it lies on one of the angle bisectors of the angles created by the tangent lines.