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MHT CET202020 Oct 2020Evening ShiftMathematicsThree Dimensional GeometryActual

If the line x-1 -3 = y-2 2 k = z-3 2 and x-1 3 k = y-5 1 = z-6 -5 are perpendicular to each other, then k is

Options

  1. A7 10
  2. B10 7
  3. C-7 10
  4. D-10 7

Correct answer

D. -10 7

Step-by-step solution

Given lines are perpendicular. Hence we write aligned &(-3)(3 k )+(2 k )(1)+(2)(-5)=0 &-9 k +2 k -10=0 & 7 k =-10 k = -10 7 aligned

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