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MHT CET20226 Aug 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The equation of the plane passing through the point (2,2,1) and the intersection of the planes x+2 y-3 z+1=0 and 3 x-2 y+4 z+3=0 is

Options

  1. A3 x+26 y+43 z+3=0
  2. B3 x+26 y-43 z-3=0
  3. C3 x-26 y-43 z-3=0
  4. D3 x-26 y+43 z+3=0

Correct answer

D. 3 x-26 y+43 z+3=0

Step-by-step solution

But it passes through (2,2,1) aligned & (2+2 2-3 1+1)+ (3 2-2 2+4 1+3)=0 & 4+9 =0 & = -4 9 in eq. (1) we get & 3 x-26 y+43 z+3=0 aligned

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