Mathematics · 2021
JEE Main · 17 March 2021, Shift 2 · Q77
If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line (x+1)/2=(y-3)/1=(z+2)/-1 and containing the line…
If the equation of plane passing through the mirror image of a point ($\displaystyle 2$, $\displaystyle 3$, $\displaystyle 1$) with respect to line $\displaystyle \frac{x+1}{2}=\frac{y-3}{1}=\frac{z+2}{-1}$ and containing the line $\displaystyle \frac{x-2}{3}=\frac{1-y}{2}=\frac{z+1}{1}$ is $\displaystyle \alpha x+\beta y+\gamma z=24$, then $\displaystyle \alpha+\beta+\gamma$ is equal to :
Official answer
(3)
$\displaystyle 19$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.