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MHT CET202120 Sep 2021Morning ShiftMathematicsThree Dimensional GeometryActual

If the line x+1 2 = y-m 3 = z-4 6 lies in the plane 3 x-14 y+6 z+49=0 , then the value of m is

Options

  1. A3
  2. B-5
  3. C5
  4. D2

Correct answer

C. 5

Step-by-step solution

Line x+1 2 = y-m 3 = z-4 6 lies in plane 3 x-14 y+6 z+49=0 Point (-1, ~m , 4) lies in the plane. aligned & 3(-1)-14( ~m )+6(4)+49=0 -3-14 ~m +24+49=0 & 14 ~m =70 m =5 aligned

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