Let P = (−1, 0), Q = (0, 0) and R = ( 3, 3 √3) be three points. The equation of the bisector of the angle PQR

$square root of 3 straight x space plus straight y space equals space 0$
$straight x space plus space fraction numerator square root of 3 over denominator 2 end fraction straight y space equals space 0$
$fraction numerator square root of 3 over denominator 2 end fraction space straight x space plus straight y space equals 0$
$straight x space plus space square root of 3 space straight y space equals space 0$

Solution

square root of 3 straight x space plus straight y space equals space 0

Slope space of space the space line space QM space is space tan space fraction numerator 2 straight pi over denominator 3 end fraction space equals space minus square root of 3 Hence space equation space is space line space QM space is space straight y space equals negative space square root of 3 space straight x

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