Which of the following is one of the equations of the bisectors of the angles between
$\begin{aligned}
12x+3y+11 &= 0 \text{ and} \\
3x-12y &= 0 ?
\end{aligned}$

Which of the following lines is a locus of equidistant points from the two lines
$\begin{aligned}
12x+5y+31 &= 0 \text{ and} \\
-5x+12y+3 &= 0 ?
\end{aligned}$

For the three points $P=(-4,0),$$Q=(0,0)$ and $R=(2,2\sqrt{3}),$ what is the equation of the bisector of the angle $\angle{PQR}?$

Let $\displaystyle y=-\frac{1}{\sqrt{5}}x$ be one of the two bisectors of the angles between two lines $px+qy+r=0, p'x+q'y+r'=0$ which intersect at the point $P=(-2\sqrt{5},2).$ What is the $y$-intercept of the other bisector?

Let $P=(-5,0)$, $Q=(0,0)$ and $R=(5,5\sqrt{3})$ be three points on the $xy$-plane. Then what is the equation of the bisector of the angle $\angle PQR ?$