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MHT CET202411 May 2024Morning ShiftMathematicsThree Dimensional GeometryActual

If the lines x+1 -10 = y+ k -1 = z-4 1 and x+10 -1 = y+1 -3 = z-1 4 intersect each other, then the value of k is

Options

  1. A-3
  2. B3
  3. C4
  4. D2

Correct answer

B. 3

Step-by-step solution

Since the given lines intersect, aligned & | array ccc x₂-x₁ & y₂-y₁ & z₂-z₁ a₁ & b₁ & c₁ a₂ & b₂ & c₂ array |=0 & | array ccc -10+1 & -1+ k & 1-4 -10 & -1 & 1 -1 & -3 & 4 array |=0 & | array ccc -9 & -1+ k & -3 -10 & -1 & 1 -1 & -3 & 4 array |=0 & 39 k =117 & k =3 aligned

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