Let A(1,0), B(2,-1) and C(7/3,4/3) be three points. If the equati… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 1Straight Line Equations

Let $A(1,0)$ , $B(2,-1)$ and $C\left(\dfrac{7}{3},\dfrac{4}{3}\right)$ be three points. If the equation of the bisector of the angle $ABC$ is $\alpha x+\beta y=5$ , then the value of $\alpha^2+\beta^2$ is

A
$10$
B
$8$
C
$13$
D
$5$

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