JEE Main 2024 Mathematics question
If the shortest distance between the lines and is and , where [x] denotes the greatest integer function, then 6α³ is equal to .
Answer: 48
Solution
The shortest distance is |(P₂ − P₁)·(d₁ × d₂)|/|d₁ × d₂| = (38/(3√5))·(3/2), so k = 3/2. Since [x²] = 0 on
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