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

(y−2)y′2=25−(y−2)2

(y−2)2y′2=25−(y−2)2

(x−2)2y′2=25−(y−2)2

(x−2)y′2=25−(y−2)2

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[b] Circle (x−h)2+(y−2)2=25 ⇒2(x−h)+2(y−2)y′=0⇒2(y−2)y′ =−2(x−h) ⇒(y−2)2y′2=(x−h)2⇒(y−2)2y′2=25−(y−2)2

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Question Text	The differential equation of the family of circles with fixed radius 5 units and centre on the line y=2 is
Answer Type	Text solution:1
Upvotes	150