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MHT CET202012 Oct 2020Evening ShiftMathematicsThree Dimensional GeometryActual

The length of the perpendicular to the plane r ( -2 +3 k )=14 from the origin is

Options

  1. A7 units
  2. B7 units
  3. C14 units
  4. D14 units

Correct answer

D. 14 units

Step-by-step solution

Length of er from the point A( a ) to the plane r n =p is | a n -p| | n | Here a =0 i +0 j +0 k and n = i -2 j +3 k a n =0 and | n |= 1+4+9 = 14 Hence required distance is |0-14| 14 = 14

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