Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Find the equation of the circle which cuts each of the circles, x² + y² = 4, x² + y² − 6x − 8y + 10 = 0 & x² + y² + 2x − 4y − 2 = 0 at the extremities of a diameter.
Text Solution
Verified by ExpertsThe correct answer is:
C
x² + y² − 4x − 6y − 4 = 0
Let required equation of circle is 
Now common chord of given circle with required circle are Common chord 
it is also diameter of circle 
. Hence 
similarly with 
With circle 
after simplification 
Hence circle 
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