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Mathematics · 2024

JEE Main · 31 January 2024, Shift 2 · Q16

Let (α, β, γ) be the mirror image of the point (2,3,5) in the line (x-1)/2=(y-2)/3=(z-3)/4. Then, 2 α+3 β+4 γ is equal to

Let $\displaystyle (\alpha, \beta, \gamma)$ be the mirror image of the point $\displaystyle (2,3,5)$ in the line $\displaystyle \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$. Then, $\displaystyle 2 \alpha+3 \beta+4 \gamma$ is equal to
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