Angle Bisector Equation Alpha Beta (Jee Mains)

Triangle Geometry and Bisectors

Medium

Angle Bisector Equation Alpha Beta

Let A(1, 0), B(2, –1) and C $\left( {\frac{7}{3},\frac{4}{3}} \right)$ be three points. If the equation of the bisector of the angle ABC is αx + βy = 5, then the value of α² + β² is

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