Question

Let$P=(-1,0),Q=(0,0)$ and $R=(3,3\sqrt{3})$ be three points, then 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

The correct option is C $\sqrt{3}x+y=0$

$tan\theta =\sqrt{3}\Rightarrow \theta ={60}^0\Rightarrow \angle PQR={120}^0$
$\Rightarrow$ Bisector will have slope tan ${120}^0$
$\Rightarrow$ Equation of bisector is $\sqrt{3}x+y=0$