The differential equation of the family ...

The differential equation of the family of circles with fixed radius 5 units and centre on the line y=2 is

A

`(x-2)y'^(2)=25-(y-2)^(2)`

B

`(y-2)y'^(2)=25-(y-2)^(2)`

C

`(y-2)^(2)y'^(2)=25-(y-2)^(2)`

D

`(x-2)^(2)y'^(2)=25-(y-2)^(2)`

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The correct Answer is:

C

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