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MHT CET202410 May 2024Morning ShiftMathematicsThree Dimensional GeometryActual

If the lines x-1 2 = y-2 3 = z-1 4 and x-3 -1 = y- k 2 = z 1 intersect, then k is equal to

Options

  1. A-5 6
  2. B5 6
  3. C6 5
  4. D-6 5

Correct answer

A. -5 6

Step-by-step solution

aligned & | array ccc x₂-x₁, & y₂-y₁, & z₂-z_i a ₁ & ~b ₁ & c ₁ a ₂ & ~b ₂ & c ₂ array |=0 & | array ccc 3-1 & k -2 & 0-1 2 & 3 & 4 -1 & 2 & 1 array |=0 & | array ccc 2 & k -2 & -1 2 & 3 & 4 -1 & 2 & 1 array |=0 & k = -5 6 aligned

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