The point P is the intersection of the straight line joining the points Q(2,3,5) and R(1, - 1, 4) with the plane 

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Q 1688167907.     The point P is the intersection of the straight line joining the points Q(2,3,5) and R(1, - 1, 4) with the plane 5x- 4y - z = 1. If S is the foot of the perpendicular drawn from the point T(2, 1, 4) to QR, then the length of the line segment PS is
JEE 2012 ADVANCED Paper - 1
A

\frac{1}{\sqrt{2}}

B

\sqrt{2}

C

2

D

2\sqrt{2}`

#### HINT

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

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