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MHT CET202122 Sep 2021Evening ShiftMathematicsThree Dimensional GeometryActual

The line x-2 3 = y-1 -5 = z+2 2 lies in the plane x+3 y- z+ =0 , then value of is

Options

  1. A42
  2. B1
  3. C-42
  4. D-2

Correct answer

C. -42

Step-by-step solution

line x-2 3 = y-1 -5 = z+2 2 lies in the plane x+3 y- z+ =0 (3)(1)+(-5)(3)+2(- )=0 =-6 Thus equation of plane is x+3 y+6 z+ =0 and point (2,1,-2) lies in it. aligned & 2+3(1)+6(-2)+ =0 =7 & =(-6)(7)=-42 aligned

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