JEE Main 2024 Mathematics question
Let the line of the shortest distance between the lines and Intersect and at P and Q respectively. If (α, β, γ) is the mid point of the line segment PQ, then 2(α + β + γ) is equal to.
Answer: 21
Solution
PQ ∥ (0, 1, 1) gives λ = 3/2, μ = −3/2; P = (5/2, 1/2, 9/2), Q = (5/2, 7/2, 15/2), midpoint (5/2, 2, 6) and 2(α + β + γ) = 21.