In a △ ABC, suppose y = x is the equation of the bisector of angl… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 1Straight Line Equations

In a $\triangle ABC$ , suppose $y = x$ is the equation of the bisector of angle $B$ , and the equation of side $AC$ is $2x - y = 2$ . If $2AB = BC$ and the points $A$ and $B$ are $(4, 6)$ and $(\alpha, \beta)$ , then $\alpha + 2\beta$ is equal to:

A
$42$
B
$39$
C
$48$
D
$45$

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