Find acute as well as obtuse angular bisectors of the lines $x+3y+1=0$ & $2x+5y+2=0$.

Question

$\begin{array}(a)\;\large\frac{x+3y+1}{\sqrt{10}}+\frac{2x+5y+2}{\sqrt{29}}=0,\large\frac{x+3y+1}{\sqrt{10}}-\frac{2x+5y+2}{\sqrt{29}}=0\\(b)\;\large\frac{x+2y+1}{\sqrt{13}}+\frac{2x+5y+2}{\sqrt{19}}=0,\large\frac{x+3y+1}{\sqrt{10}}-\frac{2x+5y+2}{\sqrt{23}}=0\\(c)\;\large\frac{x+3y-1}{\sqrt{10}}+\frac{2x+5y-2}{\sqrt{29}}=0,\large\frac{x+3y+1}{\sqrt{10}}-\frac{2x+5y-2}{\sqrt{29}}=0\\(d)\;\large\frac{x-3y-1}{\sqrt{10}}+\frac{2x+5y+2}{\sqrt{29}}=0,\large\frac{x-3y-1}{\sqrt{10}}-\frac{2x+5y+2}{\sqrt{29}}=0\end{array}$