Mathematics · 2023
JEE Main · 6 April 2023, Shift 1 · Q13
If the equation of the plane passing through the line of intersection of the planes 2 x-y+z=3,4 x-3 y+5 z+9=0 and parallel to the line…
If the equation of the plane passing through the line of intersection of the planes $\displaystyle 2 x-y+z=3,4 x-3 y+5 z+9=0$ and parallel to the line $\displaystyle \frac{x+1}{-2}=\frac{y+3}{4}=\frac{z-2}{5}$ is $\displaystyle a x+b y+c z+6=0$, then $\displaystyle a+b+c$ is equal to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 14$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.