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MHT CET20225 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The equation of a plane containing the line of intersection of the planes 2 x - y -4=0 and y +2 z -4=0 and passing through the point (1,1,0) is

Options

  1. Ax-y-z=0
  2. B2 x-z=2
  3. Cx-3 y-2 z=-2
  4. Dx+3 y+z=4

Correct answer

A. x-y-z=0

Step-by-step solution

The equation of plane containing the line of intersection of the planes 2 x-y-4=0 and y+2 z-4=0 is (2 x-y-4)+ (y+2 z-4)=0 But it passes through (1,1,0) =-1 The required equation of plane is aligned & (2 x-y-4)-(y+2 z-4)=0 & 2 x-2 y-2 z=0 & x-y-z=0 aligned

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