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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 **

#### HINT

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