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Q.

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

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a

12

b

2

c

2

d

22

answer is A.

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Detailed Solution

Direction ratios of QR are 1 , 4, 1. Coordinates of P≡43,13,133Direction ratios of PT are 2, 2, -1. Angle between QR and PT is 45∘. And PT=1⇒PS=TS=12

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