Mathematics · 2023
JEE Main · 6 April 2023, Shift 2 · Q28
If the lines (x-1)/2=(2-y)/-3=(z-3)/(α) and (x-4)/5=(y-1)/2=z/(β) intersect, then the magnitude of the minimum value of 8 α β is ____.
If the lines $\displaystyle \frac{x-1}{2}=\frac{2-y}{-3}=\frac{z-3}{\alpha}$ and $\displaystyle \frac{x-4}{5}=\frac{y-1}{2}=\frac{z}{\beta}$ intersect, then the magnitude of the minimum value of $\displaystyle 8 \alpha \beta$ is $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
18
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.