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MHT CET202210 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

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

Options

  1. A3 y+z-6=0
  2. B3 y-z+6=0
  3. Cy-3 z+6=0
  4. Dy+3 z-6=0

Correct answer

C. y-3 z+6=0

Step-by-step solution

Required equation is (x+y+z-1)+ (2 x+3 y-z+4)=0 (1+2 ) x+(1+3 ) y+(1- ) z+(4 -1)=0 But plane is parallel to the x -axis aligned & =- 1 2 & - 1 2 y+ 3 2 z-3=0 & y-3 z+6=0 aligned

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