Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

In${\mathrm{R}}^3$, consider the planes${\mathrm{P}}_1\mathrm{ }:\mathrm{y}=0$and${\mathrm{P}}_2\mathrm{ }:\mathrm{x}+\mathrm{z}=1.$Let${\mathrm{P}}_3$, be a plane, different from${\mathrm{P}}_1$and${\mathrm{P}}_2$, which passes through the intersection of${\mathrm{P}}_1$and${\mathrm{P}}_2$. If the distance of the point$\left(0, 1, 0\right)$, from${\mathrm{P}}_3$, is$1$, and the distance of a point$(\mathrm{\alpha },\mathrm{ }\mathrm{\beta },\mathrm{ }\mathrm{\gamma })$, from${\mathrm{P}}_3$, is$2$, then which of the following relations is (are) true ?