Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The locus of the centres of the circles which touch externally the circles 
and 
, will be
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Let 
, radius 
Co-ordinates of 
Co-ordinates of 
Putting co-ordinates of A and B in 
respectively and eliminating r , we get the locus
.
Aliter : Since it touches 
and 
, therefore
….(i)
….(ii)
From (i), putting the value of r in (ii), we get
On simplification, we get the required locus.
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