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MHT CET202014 Oct 2020Evening ShiftMathematicsThree Dimensional GeometryActual

The co-ordinates of the foot of the perpendicular from the point (0,2,3) on the line x+3 5 = y-1 2 = z+4 3 are

Options

  1. A(-2,-3,1)
  2. B(2,3,-1)
  3. C(2,3,1)
  4. D(-2,-3,-1)

Correct answer

B. (2,3,-1)

Step-by-step solution

Let be the foot of the Ler drawn from the point P (0,2,3) to the given line. Co-ordinates of any point on given line are x+3 5 = y-1 2 = z+4 3 = ...say Let Q (5 -3,2 +1,3 -4) and P (0,2,3) d.r. of PQ are 5 -3,2 -1,3 -7 d.r. of given line are 5,2,3 5(5 -3)+2(2 -1)+3(3 -7)=0 25 -15+4 -2+9 -21=0 38 -38=0 =1 Q (2,1,-4)

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