Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If a variable circle 
touches the line 
and passes through the point 
, then the fixed point that lies on the common chord of the circles 
and 
is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Since the family of circle touching a line 
at 
is
According to the question
We know that common chord of circles with equation 
and 
is given as 
Let 
and 
Hence 
It is clear that above equation is always valid for point
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