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BITSAT2021MathematicsThree Dimensional GeometryActual

The length of the perpendicular drawn from the point (3,-1,11) to the line x 2 = y-2 3 = z-3 4 is :

Options

  1. A29
  2. B33
  3. C53
  4. D66

Correct answer

C. 53

Step-by-step solution

Let feet of perpendicular is (2 , 3 +2,4 +3) Direction ratio of the line is 2 -3,3 +3,4 -8 . and Direction ratio of the line are 2,3,4 2(2 -3)+3(3 +3)+4(4 -8)=0 =1 Feet of is (2,5,7) Length is 1²+6²+4² = 53

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