In $$R^3$$, consider the planes $$P_1 : y = 0$$ and $$P_2 : x + z = 1$$. Let $$P_3$$ be a plane, different from $$P_1$$ and $$P_2$$, which passes through the intersection of $$P_1$$ and $$P_2$$. If the distance of the point (0,1,0) from $$P_3$$ is 1 and the distance of a point $$(\alpha, \beta, \gamma)$$ from $$P_3$$ is 2, then which of the following relationsis (are) true?

A

$$2\alpha + \beta + 2\gamma + 2 = 0$$

B

$$2\alpha - \beta + 2\gamma + 4 = 0$$

C

$$2\alpha + \beta - 2\gamma - 10 = 0$$

D

$$2\alpha - \beta + 2\gamma - 8 = 0$$