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MHT CET202314 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

If the lines x- k 2 = y+1 3 = z -1 4 and x-3 1 = y- 9 2 2 = z 1 intersect, then the value of k is

Options

  1. A1 2
  2. B-1
  3. C1
  4. D3 2

Correct answer

C. 1

Step-by-step solution

Since the given lines intersect aligned & | 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- k & 9 2 +1 & 0-1 2 & 3 & 4 1 & 2 & 1 array |=0 & | array ccc 3- k & 11 2 & -1 2 & 3 & 4 1 & 2 & 1 array |=0 & -5+5 k =0 & k =1 aligned

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