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NDA2010MathematicsThree Dimensional GeometryActual

If the line through the points A (k, 1,-1) and B (2 k, 0,2) is perpendicular to the line through the points B and C (2+2 k, k, 1) , then what is the value of k ?

Options

  1. A-1
  2. B1
  3. C-3
  4. D3

Correct answer

D. 3

Step-by-step solution

aligned AB =(2 k-k & , 0-1,2+1) & =(k,-1,3) BC & =(2+2 k-2 k, k-0,1-2) & =(2, k,-1) k 2-1 k & -3=0 2 k-k= & k=3 aligned

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