Let C be a circle having centre in the first quadrant and touching the $$x$$-axis at a distance of 3 units from the origin. If the circle C has an intercept of length $$6\sqrt{3}$$ on $$y$$-axis, then the length of the chord of the circle C on the line $$x - y = 3$$ is :

A

8

B

6

C

$$6\sqrt{2}$$

D

$$8\sqrt{2}$$