The centres of two circles C1 and C2 eac...

The centres of two circles C1 and `C2` each of unit radius are at a distance of 6 units from each other. Let P be the mid point of the line segment joining the centres of C1` and C2 and C be a circle touching circles C1 and C2 externally. If a common tangent to C1 and C passing through P is also a common tangent to C2 and C, then the radius of the circle C is

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