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AP EAMCET202317 May 2023Morning ShiftMathematicsThree Dimensional GeometryActual

An equation of a plane parallel to the plane x-2 y+2 z-5=0 and which is at one unit distance from the origin is

Options

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

Correct answer

C. x-2 y+2 z-3=0

Step-by-step solution

Distance from the origin of plane x-2 y+2 z-1=0 is d₁= | -1 1+4+4 | 1 Distance from the origin of the plane x-2 y+2 z+5=0 is d₂= 5 1+4+4 = 5 3 1 Distance from the origin of the plane x-2 y+2 z-3=0 is d₃= | -3 1+4+4 |=1

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