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Mathematics · 2023

JEE Main · 25 January 2023, Shift 1 · Q89

Let the equation of the plane passing through the line x-2 y-z-5=0=x+y+3 z-5 and parallel to the line x+y+2 z-7=0=2 x+3 y+z-2 be a x+b y+c z=65. Then…

Let the equation of the plane passing through the line $\displaystyle x-2 y-z-5=0=x+y+3 z-5$ and parallel to the line $\displaystyle x+y+2 z-7=0=2 x+3 y+z-2$ be $\displaystyle a x+b y+c z=65$. Then the distance of the point $\displaystyle (a, b, c)$ from the plane $\displaystyle 2 x+2 y-z+16=0$ is $\displaystyle \_\_\_\_$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.