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The differential equation of all circles having their centres on the line y = 5 and touching the X-axis is

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The differential equation of all circles having their centres on the line y = 5 and touching the X-axis is

(a) y2 (1 + dy/dx) = 25

(b) (y - 5)2 [1 + (dy/dx)2] = 25

(c) (y - 5)2 +  [1 + (dy/dx)2] = 25

(d) (y - 5)2  [1 - (dy/dx)2] = 25

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Correct option is: (b) (y - 5)2 [1 + (dy/dx)2] = 25

Equation of the circle is

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