Let the planes $\pi _ { 1 } \equiv x + y = 1$ and $\pi _ { 2 } \equiv x + z = 1$.\ a) ( 1.5 points) Find the planes parallel to plane $\pi _ { 1 }$ such that their distance to the origin of coordinates is 2.\ b) ( 0.5 points) Find the line that passes through the point ( $0,2,0$ ) and is perpendicular to plane $\pi _ { 2 }$.\ c) ( 0.5 points) Find the distance between the points of intersection of plane $\pi _ { 1 }$ with the $x$ and $y$ axes.