If the line l_1: 3 {\y}-2 {\x}=3 is the angular bisector of the line l_2: {\x}- {\y}+1=0 and l_3: {\ax}+\beta {\y}+17, then \alpha^2+\beta^2- \alpha-\beta is equal to _______. [11-Apr-2023 shift 2]

JEE Mains 11-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 27 of 90

Marks: +1, -0

If the line l1:3y−2x=3 is the angular bisector of the line l2:x−y+1=0 and l3:ax+βy+17, then α2+β2− α−β is equal to _______.

[11-Apr-2023 shift 2]

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