Statement I : The differential equation corresponding to the family of circles having their centres on Y-axis and fixed radius 
is 
Statement II : The differential equation of corresponding to the family of circles passing through the origin and having their centres on 
-axis is 
Which of the above statements is (are) true?
Text Solution
Verified by ExpertsC
Statement I:- Let center 
and radius 
equation of circle is
Putting value of 
in equation (i)
Hence statement 
is true.
Statement II :-
Circle is passing through origin and its centre lies on 
-axis Let equation of circle is
On differentiating we get
......(iii)
Putting value of 
in equation (i)
we get 
hence statement II is also true.
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