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MHT CET202312 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

The equation of the line, passing through (1,2,3) and parallel to planes x-y+2 z=5 and 3 x+y+z=6 , is

Options

  1. Ax-1 -3 = y-2 5 = z-3 4
  2. Bx-1 -3 = y-2 -5 = z-3 4
  3. Cx-1 4 = y-2 5 = z-3 3
  4. Dx-1 5 = y-2 7 = z-3 1

Correct answer

A. x-1 -3 = y-2 5 = z-3 4

Step-by-step solution

Required equation of line is aligned & x-1 | array cc -1 & 2 1 & 1 array | = y-2 - | array ll 1 & 2 3 & 1 array | = z -3 | array cc 1 & -1 3 & 1 array | & x-1 -3 = y-2 5 = z-3 4 aligned

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