Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The differential equation of the family of circles passing through the origin and having their centres on the 
-axis is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
: Let coordinates of centre 
be 
So radius 
Equation of circle is
( 
is a parameter)
Differentiating both sides w.r.t. 
, we get
,
which is differential equation
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