Question

Let $P=(-1,0),Q=(0,0)$ and $R=(3,3\sqrt{3})$ be three points. The equation of the bisector of the angle $PQR$ is

• A. $\frac{\sqrt{3}}{2}x+y=0$
• B. $x+\sqrt{3}y=0$
• C. $\sqrt{3}x+y=0$
• D. $x+\frac{\sqrt{3}}{2}y=0$

Answer 1

Answer: (C)

$\sqrt{3}x+y=0$

Slope of the required angle bisector is $\tan {120}^{\circ }=-\sqrt{3}$

Hence equation of the angle bisector is $y=-\sqrt{3}(x-0)\Rightarrow \sqrt{3}x+y=0$