Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The centre of a circle which cuts 
, 
and 
orthogonally is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
: Let the equation of the required circle be, 
Then, by using condition of orthogonality
(i)
[with 1st circle]
Also, above circle is orthogonal to second circle.
So, 
(ii)
Given circle above is also orthogonal to third circle.
So, 
(iii)
Using (i), (ii) and (iii), we get
putting above value in (i), 
Also, pulting 
on (ii) 
So, centre of the required circle 
.
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