JEE Main 2024 Mathematics question

MathematicsVector AlgebraJEE Main 2024

If the shortest distance between the lines and is 1, then the sum of all possible values of λ is:

Answer: (B)

Solution

Direction of the common perpendicular ∝ (1, 1, 1); the distance is |√3 − λ|/√3 = 1, so λ = 0 or 2√3.

Question ID VK-011294