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AP EAMCET202125 Aug 2021Morning ShiftMathematicsThree Dimensional GeometryActual

The plane passing through the points (1,1,1),(1,-1,1) and (-7,-3,-5) is

Options

  1. Aparallel to X -axis
  2. Bparallel to Y -axis
  3. Cparallel to Z-axis
  4. D3 x-4 z-1=0

Correct answer

B. parallel to Y -axis

Step-by-step solution

Equation of plane passing through the point (1,1,1),(1,-1,1) and (-7,-3,-5) is aligned & | array ccc x-1 & y-1 & z-1 1-1 & -1-1 & 1-1 -7-1 & -3-1 & -5-1 array |=0 & | array ccc x-1 & y-1 & z-1 0 & -2 & 0 -8 & -4 & -6 array |=0 & (x-1)(12-0)-(y-1)(0-0)+(z-1)(0-16)=0 & 12 x-12-16 z+16=0 & 3 x-4 z+1=0 & aligned which is parallel to Y -axis.

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