JEE Main 2024 Mathematics question

MathematicsVector AlgebraJEE Main 2024

If the shortest distance between the lines and is , then a value of λ is:

Answer: (C)

Solution

The lines are parallel with direction d = (2, 3, 4), |d|² = 29. With a₂ − a₁ = (2 − λ, 0, 4): (a₂ − a₁) × d = (−12, 4λ, 6 −

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Question ID VK-012455