3-D Geometry for JEE Advance

Geometry Level 4

A line L 1 L_1 with direction ratios ( 3 , 2 , 4 ) (-3,2,4) passes through the point A ( 7 , 6 , 2 ) (7,6,2) and a line L 2 L_2 with direction ratios ( 2 , 1 , 3 ) (2,1,3) passes through the point B ( 5 , 3 , 4 ) (5,3,4) . A line L 3 L_3 with direction ratios ( 2 , 2 , 1 ) (2,-2,-1) intersects L 1 L_1 and L 2 L_2 at C and D. Then C and D are:

  1. ( 1 , 10 , 10 ) (1,10,10)
  2. ( 1 , 12 , 11 ) (-1,12,11)
  3. ( 7 , 4 , 7 ) (7,4,7)
  4. ( 3 , 8 , 9 ) (3,8,9)

Details: There can be multiple correct answers. If your answer is choice 1 and 2 then type your answer as 12 (choices must be in ascending order).


The answer is 13.

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