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

\[{{(x-2)}^{2}}y{{'}^{2}}=25-{{(y-2)}^{2}}\]

\[(y-2)y{{'}^{2}}=25-{{(y-2)}^{2}}\]

\[{{(y-2)}^{2}}y{{'}^{2}}=25-{{(y-2)}^{2}}\]

\[(x-2)y{{'}^{2}}=25-{{(y-2)}^{2}}\]

The differential equation of the family of circles with fixed radius 5

1.	The differential equation of the family of circles with fixed radius 5 units and centre on the line \[y=2\] is
A.	\[(y-2)y{{'}^{2}}=25-{{(y-2)}^{2}}\]
B.	\[{{(y-2)}^{2}}y{{'}^{2}}=25-{{(y-2)}^{2}}\]
C.	\[{{(x-2)}^{2}}y{{'}^{2}}=25-{{(y-2)}^{2}}\]
D.	\[(x-2)y{{'}^{2}}=25-{{(y-2)}^{2}}\]
Answer» C. \[{{(x-2)}^{2}}y{{'}^{2}}=25-{{(y-2)}^{2}}\]

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

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