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MHT CET202211 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The value of k such that x-4 1 = y-2 1 = z-k 2 lies in the plane 2 x-4 y+z=7 , is

Options

  1. ANo real value
  2. B4
  3. C7
  4. D-7

Correct answer

C. 7

Step-by-step solution

2 1-4 1+1 2=0 i.e. line is parallel to the plane now 2 4-4 2+K=7 (for having a common point) K=7

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