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Mathematics · 2019

JEE Main · 11 January 2019, Shift 2 · Q84

If the point (2, α, β) lies on the plane which passes through the points (3,4,2) and (7, 0, 6) and is perpendicular to the plane 2 x-5 y=15, then 2…

If the point $\displaystyle (2, \alpha, \beta)$ lies on the plane which passes through the points $\displaystyle (3,4,2)$ and ($\displaystyle 7$, $\displaystyle 0$, $\displaystyle 6$) and is perpendicular to the plane $\displaystyle 2 x-5 y=15$, then $\displaystyle 2 \alpha-3 \beta$ is equal to :
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