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MHT CET202123 Sep 2021Morning ShiftMathematicsThree Dimensional GeometryActual

The length of perpendicular drawn from the point 2 i - j +5 k to the line r =(11 i -2 j -8 k )+ (10 i -4 j -11 k ) is

Options

  1. A14 units
  2. B14 units
  3. C237 units
  4. D237 units

Correct answer

A. 14 units

Step-by-step solution

Let P =(2,-1,5) and co-ordinates of any point on the given line be aligned & Q (10 +11,-4 -2,-11 -13) & d.r. of PQ are (10 +9,-4 -1,-11 -13) & d.r. of given line are (10,-4,-11) & (10 +9)(10)+(-4 -1)(-4)+(-11 -13)(-11)=0 & 100 +90+16 +4+121 +143=0 =-1 & Q (1,2,3) and d ( PQ )= 1^2+3^2+2^2 = 14 units aligned

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