Mathematics · 2023
JEE Main · 31 January 2023, Shift 1 · Q76
Let the shortest distance between the lines L: (x-5)/-2=(y-λ)/0=(z+λ)/1, λ ≥ 0 and L_1: x+1=y-1=4-z be 2 √ 6. If (α, β, γ) lies on L, then which of…
Let the shortest distance between the lines $\displaystyle L: \frac{x-5}{-2}=\frac{y-\lambda}{0}=\frac{z+\lambda}{1}, \lambda \geq 0$ and $\displaystyle L_1: x+1=y-1=4-z$ be $\displaystyle 2 \sqrt{6}$. If $\displaystyle (\alpha, \beta, \gamma)$ lies on L , then which of the following is NOT possible?
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \alpha+2 \gamma=24$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.