The distance of the point $(1, −2, 4)$ from the plane passing through the point $(1, 2, 2)$ and perpendicular to the planes $x−y+2z=3$ and $2x−2y+z+12=0,$ is :

Question

$\begin{array}{1 1} (1) 2 \sqrt 2 \\ (2) 2 \\ (3) \sqrt 2\\ (4) \large\frac{1}{\sqrt 2} \end{array}$