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Mathematics · 2021

JEE Main · 24 February 2021, Shift 2 · Q61

Let a, b ∈ R. If the mirror image of the point P ( a, 6,9) with respect to the line (x-3)/7=(y-2)/5=(z-1)/-9 is (20, b,- a -9), then | a + b | is…

Let $\displaystyle \mathrm{a}, \mathrm{b} \in \mathbf{R}$. If the mirror image of the point $\displaystyle \mathrm{P}(\mathrm{a}, 6,9)$ with respect to the line $\displaystyle \frac{x-3}{7}=\frac{y-2}{5}=\frac{z-1}{-9}$ is $\displaystyle (20, \mathrm{~b},-\mathrm{a}-9)$, then $\displaystyle |\mathrm{a}+\mathrm{b}|$ is equal to :
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