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MHT CET202410 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

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

Options

  1. A3 2
  2. B9 2
  3. C- 2 9
  4. D- 3 2

Correct answer

B. 9 2

Step-by-step solution

aligned & | array ccc x₂-x₁ & y₂-y₁ & z₂-z₁ a₁ & b₁ & c₁ a₂ & b₂ & c₂ 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 aligned

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