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MHT CET202416 May 2024Morning ShiftMathematicsThree Dimensional GeometryActual

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

Options

  1. Ax+4 z-1=0
  2. Bx+4 z-7=0
  3. Cx-4 z+7=0
  4. Dx-4 z+1=0

Correct answer

B. x+4 z-7=0

Step-by-step solution

Equation of plane passing through the intersection of given planes is aligned & (x+y+z-1)+ (2 x+3 y-z+4)=0 & (1+2 ) x+(1+3 ) y+(1- ) z+4 -1=0 aligned Since the plane is parallel to Y -axis. aligned & 1+3 =0 & = -1 3 aligned Equation of the required plane is x+4 z -7=0

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