The question states the following:-
The bisector of two lines $L_1$ and $L_2$ are given by $3x^2-8xy-3y^2+10x+20y-25 = 0$. If the line $L_1$ passes through the origin, find the equation of $L_2$.
Now I know that the two angle bisectors are perpendicular to each other and I also know the formula to find the angle bisectors of two given lines if the equations of the lines themselves are known, but how do I get the equations of the lines back when only the equations of the bisectors are given?
I can also find the point of intersection of the two bisectors from the combined equation I guess, but what clue would that give me?
I really have no way to approach this problem.