The joint equation of pair of lines which bisects the angle between the lines $x^2+3 x y+2 y^2=0$ is
The joint equation of pair of lines which bisects the angle between the lines $x^2+3 x y+2 y^2=0$ is
$3 x^2-r 4 e g h 2 x y-3 y^2=0$
$3 x^2+2 x y-3 y^2=0$
$2 x^2-3 x y-2 y^2=0$
$2 x^2+3 x y-2 y^2=0$
Solution
Equation of angle bisector of $\mathrm{ax}^2+2 \mathrm{hxy}+\mathrm{by}^2=0$ is given by
$\begin{aligned} & \frac{x-y}{a-b}=\frac{x y}{h} \\ & \Rightarrow \frac{x^2-y^2}{1-2}=\frac{x y}{\frac{3}{2}} \\ & \Rightarrow-3 x^2+3 y^2=2 x y \\ & \Rightarrow 3 x^2+2 x y-3 y^2=0\end{aligned}$