Question

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

• A. $\sqrt{3}x+y=0$
• B. $x+\left(\frac{\sqrt{3}}{2}\right)y=0$
• C. $\left(\frac{\sqrt{3}}{2}\right)x+y=0$
• D. $x-\sqrt{3}y=0$

Answer 1

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

Given three points $p(-1,0)Q(0,0)R(3,3\sqrt{3})$

Slope of the line $QM$ is

$tan\frac{2\pi }{2}=-\sqrt{3}$

$\therefore$ Equation is line $QM$ which is $y=-\sqrt{3}x$

$⟹\sqrt{3}x+y=0$