JEE Main 2024 Mathematics question
Let the point (−1, α, β) lie on the line of the shortest distance between the lines and . Then (α − β)² is equal to .
Answer: 25
Solution
The common perpendicular has direction d₁ × d₂ = (−4, −2, −2) ∥ (2, 1, 1). Solving for its feet gives the point (1, −2, 3) on the first line
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