Question

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

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