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Mathematics · 2023

JEE Main · 1 February 2023, Shift 2 · Q87

Let α x+β y+y z=1 be the equation of a plane passing through the point (3,-2,5) and perpendicular to the line joining the points (1,2,3) and…

Let $\displaystyle \alpha x+\beta y+y z=1$ be the equation of a plane passing through the point $\displaystyle (3,-2,5)$ and perpendicular to the line joining the points $\displaystyle (1,2,3)$ and $\displaystyle (-2,3,5)$. Then the value of $\displaystyle \alpha \beta y$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.