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JEE Main20254 Apr 2025Morning ShiftMathematicsThree Dimensional GeometryActual

Let A and B be two distinct points on the line L : x -6 3 = y -7 2 = z -7 -2 . Both A and B are at a distance 2 17 from the foot of perpendicular drawn from the point (1,2,3) on the line L . If O is the origin, then O A O B is equal to:

Options

  1. A49
  2. B47
  3. C21
  4. D62

Correct answer

B. 47

Step-by-step solution

aligned & PQ ~b =0 & 3(3 +5)+2(2 +5)-2(-2 +4) & 17 =-17 =-1 & Q (3,5,9) aligned Let A (3 +6,2 +7,-2 +7) (3 +3)^2+(2 +2)^2+(-2 -2)^2=68 ^2+2 -3=0 =-3 or =1 A (-3,1,13) and B(9,9,5) OA OB =-27+9+65=47

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