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JEE Main20249 Apr 2024Evening ShiftMathematicsThree Dimensional GeometryActual

Consider the line L passing through the points (1,2,3) and (2,3,5) . The distance of the point ( 11 3 , 11 3 , 19 3 ) from the line L along the line 3 x-11 2 = 3 y-11 1 = 3 z-19 2 is equal to

Options

  1. A6
  2. B5
  3. C4
  4. D3

Correct answer

D. 3

Step-by-step solution

aligned & x-1 2-1 = y-2 3-2 = z-3 5-3 & x-1 1 = y-2 1 = z-3 2 = aligned aligned & B (1+ , 2+ , 3+2 ) & D.R. of AB = & B ( 5 3 , 8 3 , 13 3 ) 3 -8 3 -5 = 2 1 3 -8=6 -10 & 3 =2 & = 2 3 & AB = 36+9+36 3 = 9 3 =3 aligned

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