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The differential equation of all circles...

The differential equation of all circles which passes through the origin and whose centers lie on Y-axis is

A

`(x^2-y^2)dy/dx-2xy=0`

B

`(x^2-y^2)dy/dx+2xy=0`

C

`(x^2-y^2)dy/dx-xy=0`

D

`(x^2-y^2)dy/dx+xy=0`

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The correct Answer is:
A
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