Equation of a circle whose radius and tangent is given

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Equation of a circle which passes through the origin, whose radius is $a$ and for which $y = mx$ is a tangent.

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Hint:

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The center of the circle stay on the stright line orthogonal to $y=mx$ passing thorough the origin, and the distanche of the center from the origin is $\overline{OC}=a$.

How many circle can you find?