Question

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

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

Answer 1

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

Given 3 point

$P(-1,0)$

$Q(0,0)$

$R(3,\sqrt[3]{33})$

Slope of the line $QM$ is

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

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

$\therefore y=-\sqrt{3}x$

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