Question

Let $P = (-3, 0)$, $Q = (0,0)$ 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. $x + \frac{\sqrt{3{2}y = 0$

Hint:

For angle bisector problems involving the origin, visualize the angles formed by the lines with the x-axis. The angle of the bisector is the average of the angles of the two lines, or it can be found by adding/subtracting half the angle between the lines from one of the line's angles.

Answer 1

The Correct Option is A