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MHT CET20225 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

The equation of the plane through the intersection of the planes x + y + z =1 and 2 x +3 y - x +4=0 and parallel to X -axis is

Options

  1. Ay+3 z+6=0
  2. B3 y-z+6=0
  3. Cy-3 z+6=0
  4. D3 y-2 z+6=0

Correct answer

C. y-3 z+6=0

Step-by-step solution

aligned & (x+y+z-1)+ (2 x+3 y-z+4)=0 & (1+2 ) x+(1+3 ) y+(1- ) z+(4 -1)=0 aligned To be parallel to the x -axis 1+2 =0 = -1 2 - 1 2 y+ 3 2 z-3=0 y-3 z+6=0

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