Mathematics · 2023
JEE Main · 31 January 2023, Shift 2 · Q77
Let the plane P: 8 x+α_1 y+α_2 z+12=0 be parallel to the line L: (x+2)/2=(y-3)/3=(z+4)/5. If the intercept of P on the y -axis is 1, then the…
Let the plane $\displaystyle \mathrm{P}: 8 x+\alpha_1 y+\alpha_2 z+12=0$ be parallel to the line $\displaystyle \mathrm{L}: \frac{x+2}{2}=\frac{y-3}{3}=\frac{z+4}{5}$. If the intercept of P on the $\displaystyle y$-axis is $\displaystyle 1$ , then the distance between P and L is :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \sqrt{14}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.