Circle(s) touching x-axis at a distance ...

Circle(s) touching x-axis at a distance 3 from the origin and having an intercept of length `2sqrt7` on y-axis is (are)

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`(x-a)^2+(y-b)^2=r^2`
`y=(x-a)^2=r^2-b^2`
`x=pm3`
`b=r`
`a=pm3`
`(x-a)^2+(y-b)^2=b^2`
`(-a)^2+(y-b)^2=b^2`
`9+y^2+b^2-2yb=b^2`
...

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