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MHT CET20228 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The equation of the plane passing through the points (1,2,3) , (-1,4,2) and (3,1,1) is

Options

  1. A5 x+6 y+2 z-23=0
  2. B5 x+y+2 z-13=0
  3. C5 x+y+12 z-43=0
  4. D5 x+y+12 z-43=0

Correct answer

A. 5 x+6 y+2 z-23=0

Step-by-step solution

The required equation of plane aligned & | array ccc x-1 & y-2 & z-3 -1-1 & 4-2 & 2-3 3-1 & 1-2 & 1-3 array |=0 & | array ccc x-1 & y-2 & z-3 -2 & 2 & -1 2 & -1 & -2 array |=0 & -5(x-1)-6(y-2)-2(z-3)=0 & 5 x+6 y+2 z-23=0 aligned

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