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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

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

B

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

C

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

D

none of these

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The correct Answer is:
A
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