A line with positive direction cosines passes through the point `P(2, – 1, 2)` and makes equal angles with the coordin

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Q 1135601562.     A line with positive direction cosines passes through the point `P(2, – 1, 2)` and makes equal angles with the coordinate axes. The line meets the plane `2x + y + z = 9` at point `Q`. The length of the line segment `PQ` equals
JEE 2009
A

`1`

B

`sqrt2`

C

`sqrt3`

D

` 2`

HINT

the line segment makes equal direction cosines with the axis,therefore: `cos^2alpha+cos^2beta+cos^2gamma=1`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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