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Form the differential equation of family...

Form the differential equation of family of circles having center at origin.

Text Solution

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The correct Answer is:
`x+y(dy)/(dx)=0`

Equation of family of such concentrate circles is given by `x^(2)+y^(2)=r^(2)`.
Differentiating w.r.t. x, we get
`2x+2y(dy)/(dx)=0`
or `x+y(dy)/(dx)=`0, which is required differential equation.
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