JEE Main 2024 Mathematics question

MathematicsVector AlgebraJEE Main 2024

If the shortest distance between the lines and is , then the sum of all possible values of λ is :

Answer: (D)

Solution

V₁ × V₂ = (1, 2, −3) × (2, 4, −5) = 2î − ĵ, of magnitude √5. Also AB = (λ − 4)î + 2k̂ for

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Question ID VK-016731