# Tangents

Geometry Level 3

Let $$y=x$$ and $$y=2x$$ be the equations of tangents from a given point $$O$$ to a circle of radius 3 units with centre in the first quadrant. If $$A$$ is one of the points of contact and $$|OA|=a+b\sqrt{10}$$, find $$a+b$$.

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