If $y=3x$ is a tangent to a circle with center $(1,1),$then the other tangent drawn through $(0,0)$ to the circle is:

Question

$$\begin {array} {1 1} (a)\;3y=x & \quad (b)\;y=-3x \\ (c)\;y=2x & \quad (d)\;y=-2x \end {array}$$