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NDA2015MathematicsThree Dimensional GeometryActual

From the point P(3,-1,11) , a perpendicular is drawn on the line L given by the equation x 2 = y-2 3 = z-3 4 . Let Q be the foot of the perpendicular. What are the direction ratios of the line segment PQ?

Options

  1. A1,6,4
  2. B-1,6,-4
  3. C-1,-6,4
  4. D2,-6,4

Correct answer

B. -1,6,-4

Step-by-step solution

Equation of line passing through P (3,-1,11) and perpendicular to x 2 = y-2 3 = z-3 4 is: x-3 -1 = y-1 6 = z-1 -4 The direction ratio are (-1,6,-4) Option (B) is correct.

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