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MHT CET202313 May 2023Evening ShiftMathematicsThree Dimensional GeometryActual

The foot of the perpendicular from the point (1,2,3) on the line r =(6 i +7 j +7 k )+ (3 i +2 j -2 k ) has the co-ordinates

Options

  1. A(3,5,9)
  2. B(5,-3,9)
  3. C(3,-5,-9)
  4. D(5,-9,3)

Correct answer

A. (3,5,9)

Step-by-step solution

Let x-6 3 = y-7 2 = z-7 -2 = Any point on the line is P (3 +6,2 +7,-2 +7) Given point is A (1,2,3) The d.r.s. of the line AP are 3 +5,2 +5 , -2 +4 Since the line AP is perpendicular to the given line. 3(3 +5)+2(2 +5)-2(-2 +4)=0 aligned & 17 +17=0 & =-1 aligned P (3,5,9)

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