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Straight Lines And Pair Of Straight Lines

JEE Main 2023 (Online) 13th April Evening Shift

MCQ+4 / -12023

Let \((\alpha, \beta)\) be the centroid of the triangle formed by the lines \(15 x-y=82,6 x-5 y=-4\) and \(9 x+4 y=17\). Then \(\alpha+2 \beta\) and \(2 \alpha-\beta\) are the roots of the equation :

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