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MHT CET202123 Sep 2021Morning ShiftMathematicsThree Dimensional GeometryActual

Equation of the plane passing through the point (1,2,3) and parallel to the plane 2 x+3 y-4 z=0

Options

  1. A2 x+3 y+4 z-8=0
  2. B2 x+3 y-4 z+4=0
  3. C2 x+3 y+4 z+4=0
  4. D2 x+3 y+4 z=20

Correct answer

B. 2 x+3 y-4 z+4=0

Step-by-step solution

Required plane passes through (1,2,3) and is parallel to plane 2 x+3 y-4 z=0 . Hence equation of required plane is 2(x-1)+3(y-2)-4(z-3)=0 2 x+3 y-4 z+4=0

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