Mathematics - Straight Lines Question with Solution | TestHub

Let $u=ax+by+a\sqrt[3]{b}=0,v=bx-ay+b\sqrt[3]{a}=0,a,b\in R$ be two straight lines. The equation of the bisectors of the angle formed by $L_1\equiv \left(\tan {\theta }_1\right)u-\left(\tan {\theta }_2\right)v=0$ and $L_2\equiv \left(\tan {\theta }_1\right)u+\left(\tan {\theta }_2\right)v=0$ for ${\theta }_1,{\theta }_2\in \left(0,\frac{\pi }{2}\right)$ is