If two planes intersect,then the shortest distance between the planes is

Let $P$ be the plane passing through the point $(1, -1, -5)$ and perpendicular to the line joining the points $(4, 1, -3)$ and $(2, 4, 3)$. Then the distance of $P$ from the point $(3, -2, 2)$ is

Which of the following points lie on the plane passing through $2 \hat{i}+3 \hat{j}-\hat{k}$,$3 \hat{i}+2 \hat{j}+\hat{k}$ and $\hat{i}+\hat{j}+4 \hat{k}$?

The equation of the plane which contains the $y$-axis and passes through the point $(1, 2, 3)$ is:

Find the angle between the planes $2x - y + z = 6$ and $x + y + 2z = 3$.

Find the equation of the plane with intercept $3$ on the $y$-axis and parallel to the $ZOX$ plane.