Question 51

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?

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