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JEE Main20257 Apr 2025Morning ShiftMathematicsThree Dimensional GeometryActual

Let the line L pass through (1,1,1) and intersect the lines x-1 2 = y+1 3 = z-1 4 and x-3 1 = y-4 2 = z 1 . Then, which of the following points lies on the line L ?

Options

  1. A(4,22,7)
  2. B(5,4,3)
  3. C(10,-29,-50)
  4. D(7,15,13)

Correct answer

D. (7,15,13)

Step-by-step solution

aligned & Dr's of AC 2 , 3 -2,4 & Dr's of BC +2,2 +3, -1 & +2 2 = 2 +3 3 -2 = -1 4 & 2( +2)= -1 =-5 & Dr's of BC 3,7,6 & equation of L x -1 3 = y -1 7 = z -1 6 aligned (7,15,13) satisfies.

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