The differential equation of the family ...

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

A

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

B

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

C

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

D

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

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The correct Answer is:

D

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