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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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