NVAMediumJEE Main 2023 · 11 April, Shift 2Straight Line Equations

Mathematics Question from JEE Main 2023 · 11 April, Shift 2

If the line l1:3y2x=3l_1 : 3y - 2x = 3 is the angular bisector of the line l2:xy+1=0l_2 : x - y + 1 = 0 and l3:αx+βy+17=0l_3 : \alpha x + \beta y + 17 = 0, then α2+β2αβ\alpha^2 + \beta^2 - \alpha - \beta is equal to _____.

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