Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let C 1 and C 2 be two circles of radius r 1 and r 2 respectively (r 1 >r 2 ) touching both the axes. If the two circles are orthogonal, then 
is equal to
A
2
B
2 + 
C
3 + 
D
3
Text Solution
Verified by ExpertsThe correct answer is:
B
Let the equation of a circle touching both the axes be
(x-r) 2 + (y-r) 2 =r 2
x 2 + y 2 - 2rx - 2ry + r 2 = 0
If the two given circles are orthogonal, then
2 (-r 1 ) (-r 2 ) + 2 (-r 1 ) (-r 2 ) 
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