A line with positive direction cosines passes through the point $P(2,-1,2)$ and makes equal angle with co-ordinate axes. The line meets the plane $2 x+y+z=9$ at point $Q$. The length of the line segment $P Q$ equals.

A line with positive direction cosines passes through the point

$P(2,-1,2)$ and makes equal angle with co-ordinate axes. The line meets the plane

$2 x+y+z=9$ at point

$Q$ . The length of the line segment

$P Q$ equals.
(A) 1 unit
(B)

$\sqrt{2}$ unit
(C)

$\sqrt{3}$ unit
(D) 2 unit

A line with positive direction cosines passes through the point $P(2,-1,2)$ and makes equal angle with co-ordinate axes. The line meets the plane $2 x+y+z=9$ at point $Q$ . The length of the line segment $P Q$ equals.