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MHT CET20242 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

The equation of the plane, passing through the mid point of the line segment of join of the points P (1,2,5) and Q(3,4,3) and perpendicular to it, is

Options

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

Correct answer

B. x+y-z-1=0

Step-by-step solution

M is the midpoint M =(2,3,4) d.r.s of PQ : 2, 2, --2 Equation of plane is aligned & 2(x-2)+2(y-3)-2(z-4)=0 & 2 x+2 y-2 z-2=0 & x+y-z-1=0 aligned

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