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AIEEE 2012

JEE Main 2012 Mathematics question on Three Dimensional Geometry

The point PP is the intersection of the straight line joining the points Q(2,3,5)Q(2, 3, 5) and R(1,−1,4)R(1, -1, 4) with the plane 5x−4y−z=15x - 4y - z = 1. If SS is the foot of the perpendicular drawn from the point T(2,1,4)T(2, 1, 4) to QRQR, then the length of the line segment PSPS is
  1. A.
    12\dfrac{1}{\sqrt{2}}
  2. B.
    2\sqrt{2}
  3. C.
    22
  4. D.
    222\sqrt{2}
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Correct option: A

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