The centers of two circles \( C_{1} \) and \( C_{2} \) each of unit... VIDEO
The centers of two circles \( C_{1} \) and \( C_{2} \) each of unit radius are at a distance of 6 units from each other. Let \( P \) be the
P midpoint of the line segment joining the centers of \( C_{1} \) and
W \( C_{2} \) and \( C \) be a circle touching circles \( C_{1} \) and \( C_{2} \) externally. If a common tangent to \( C_{1} \) and \( C \) passing through \( P \) is also a common tangent to \( C_{2} \) and \( C \), then find the radius of circle \( C \).
(IIT-JEE 2009)
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