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MHT CET202311 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

If the lines x-1 2 = y+1 3 = z-1 4 and x-3= y- k 2 = z intersect, then the value of k is

Options

  1. A3 2
  2. B-2 9
  3. C-2 3
  4. D9 2

Correct answer

D. 9 2

Step-by-step solution

As the given lines are intersecting, the shortest distance between them is zero. array ll & | array ccc x₂-x₁ & y₂-y₁ & z ₂- z ₁ a ₁ & ~b ₁ & c ₁ a ₂ & ~b ₂ & c ₂ array |=0 & | array ccc 3-1 & k +1 & 0-1 2 & 3 & 4 1 & 2 & 1 array |=0 & | array ccc 2 & k +1 & -1 2 & 3 & 4 1 & 2 & 1 array |=0 & k = 9 2 array

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