Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Find the sum of co-ordinates of the centre of the smallest circle touching the circles
x² + y² − 2y − 3 = 0 and x² + y² − 8x − 18y + 93 = 0.
Text Solution
Verified by ExpertsThe correct answer is:
7
(7)Ler r be the radius of new circle C 1 C 2 = 
.
So r = 2 
Slope of line joining C 1 and C 2 i.e. tan θ = 2
∴ Equation of line joining C 1 and C 2 is
= 
= 2 + 
= 
x = 2 and y = 5 ∴ Centre (2, 5)
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