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3D Geometry question

2009 · Shift 1 · Q23
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  2. /JEE Advanced
  3. /Mathematics
  4. /3D Geometry
  5. /2009 · Shift 1 · Q23

3D Geometry question

2009 · Shift 1 · Q23

JEE AdvancedMathematics3D GeometryMCQ+4 / −1
Let P(3,2,6)P(3,2,6)P(3,2,6) be a point in space and QQQ be a point on the line r^=(i^−j^+2k^)+μ(−3i^+j^+5k^)\widehat r = \left( {\widehat i - \widehat j + 2\widehat k} \right) + \mu \left( { - 3\widehat i + \widehat j + 5\widehat k} \right)r=(i−j​+2k)+μ(−3i+j​+5k) Then the value of μ\muμ for which the vector PQ→{\overrightarrow {PQ} }PQ​ is parallel to the plane x−4y+3z=1x - 4y + 3z = 1x−4y+3z=1 is :
  1. A
    14{1 \over 4}41​
  2. B
    −14-{1 \over 4}−41​
  3. C
    18{1 \over 8}81​
  4. D
    −18-{1 \over 8}−81​
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