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JEE Main20254 Apr 2025Evening ShiftMathematicsThree Dimensional GeometryActual

Let A be the point of intersection of the lines L₁: x-7 1 = y-5 0 = z-3 -1 and L₂: x-1 3 = y+3 4 = z+7 5 . Let B and C be the point on the lines L₁ and L₂ respectively such that AB = AC = 15 . Then the square of the area of the triangle ABC is :

Options

  1. A54
  2. B63
  3. C57
  4. D60

Correct answer

A. 54

Step-by-step solution

Angle between both lines aligned & = | 3+0-5 2 50 | & = 2 10 = 1 5 & = 24 5 & area = 1 2 a b & 1 2 15 15 24 5 aligned square of area 15.15 .24 4.25 option (1)

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