The differential equation of all circles...

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

A

`x^2=y^2+xydy/dx`

B

`x^2=y^2+3xydy/dx`

C

`x^2=y^2+2xydy/dx`

D

`y^2=x^2-2xydy/dx`

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The correct Answer is:

C

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