Let $$y = x + 2$$, $$4y = 3x + 6$$ and $$3y = 4x + 1$$ be three tangent lines to the circle $$(x - h)^2 + (y - k)^2 = r^2$$. Then $$h + k$$ is equal to:

A

$$5$$

B

$$5(1 + \sqrt{2})$$

C

$$6$$

D

$$5\sqrt{2}$$