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CGP EDU Academic Team
Published on: August 14, 2026
The centres 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 midpoint of the line segment joining the centres of C 1 and 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 the radius (in units) of the circle C is
Text Solution
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CHECK THE SOLUTION.
8
In 
CPC 2 , (r+l) 2 = 
2 + 3 2 ...(i)
In 
,
Putting the value of 
in equation (i), we get,
1 + r 2 + 2r = 1 (r 2 + 8) + 9
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