Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A circle 
of radius 2 touches both x -axis and y -axis. Another circle 
whose radius is greater than 2 touches circle 
and both the axes. Then the radius of circle 
is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
First circle touches both axes and radius is 2 unit. Hence centre of circle is (2, 2).
Let radius of other circle be a and this circle also touches both the axes.
Hence centre of circle is ( a , a ).
This circle touches first circle
Hence, 
squaring both the sides,
But 
, Hence 
is neglected
Hence, 
.
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