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3d Geometry

JEE Main 2024 (Online) 4th April Evening Shift

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Consider a line \(\mathrm{L}\) passing through the points \(\mathrm{P}(1,2,1)\) and \(\mathrm{Q}(2,1,-1)\). If the mirror image of the point \(\mathrm{A}(2,2,2)\) in the line \(\mathrm{L}\) is \((\alpha, \beta, \gamma)\), then \(\alpha+\beta+6 \gamma\) is equal to __________.

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