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MHT CET202120 Sep 2021Morning ShiftMathematicsThree Dimensional GeometryActual

The Cartesian equation of the plane passing through the point (0,7,-7) and containing the line x+1 -3 = y-3 2 = z+2 1 is

Options

  1. A2 x+y-z=14
  2. Bx+y+z=0
  3. Cx+2 y+z=7
  4. D2 x+y+z=0

Correct answer

B. x+y+z=0

Step-by-step solution

The plane passes through the point (0,7,-7) contains the line x +1 -3 = y -3 2 = z +2 1 . Required equation of the plane is aligned & | array ccc i & j & k -1-0 & 3-7 & -2+7 -3 & 2 & 1 array |=0 | array ccc i & j & k -1 & -4 & 5 -3 & 2 & 1 array |=0 & i (-4-10)- j (-1+15)+ k (-2-12)=0 aligned Hence Cartesian equation of the plane is x+y+z=0

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