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MathsJEE Main 24 Jan 2026, Shift 1·Q13·MCQ·Easy–moderate

Straight Lines · Angle bisector equation

Let A(1,0)A(1, 0), B(2,−1)B(2, -1) and C(73,43)C\left(\dfrac73, \dfrac43\right) be three points. If the equation of the bisector of the angle ABCABC is αx+βy=5\alpha x + \beta y = 5, then the value of α2+β2\alpha^2 + \beta^2 is
  1. (1)8
  2. (2)5
  3. (3)13
  4. (4)10

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