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The differential equation corresponding ...

The differential equation corresponding to the family of circles in the plane touching the Y-axis at the origin is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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