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3d Geometry

JEE Main 2023 (Online) 1st February Evening Shift

INTEGER+4 / -12023

Let \(\alpha x+\beta y+\gamma z=1\) 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 \((-2,3,5)\). Then the value of \(\alpha \beta y\) is equal to _____________.

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