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The differential equation of the family ...

The differential equation of the family of circles passing through the origin and having their centres on the x-axis is

A

`x^(2)=y^(2)+xy(dy)/(dx)`

B

`x^(2)=y^(2)+3xy (dy)/(dx)`

C

`y^(2)=x^(2)+2xy (dy)/(dx)`

D

`y^(2)=x^(2)-2xy (dy)/(dx)`

Text Solution

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The correct Answer is:
C
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