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Question: Answered & Verified by Expert
The length of the perpendicular from 1,0,2 on the line x+13=y-2-2=z+1-1 is
MathematicsThree Dimensional GeometryJEE Main
Options:
  • A 362 units
  • B 635 units
  • C 32 units
  • D 23 units
Solution:
1577 Upvotes Verified Answer
The correct answer is: 362 units

Direction ratios of PR→3λ-2,-2λ+2,-λ-3
Direction Ratios of the line QR→3,-2,-1
Since, they are perpendicular
33λ-2-2-2λ+2-1-λ-3=0
9λ-6+4λ-4+λ+3=0
14λ=7
λ=12
R→12,1,-32
PR=1-122+0-12+2+322
=14+44+494
=544
=362 units

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