I need to find intersection point of two bisectors of KL, KC and CL line.
Coordinates : $C(2a+2, 2b), L(2-2a, 2b)$ and $K \left( \frac{2(a^3 - a^2 + ab^2 + b^2)}{a^2 + b^2}, 2 - \frac{4a}{a^2 + b^2} \right).$
I calculate that the bisector of LC is $x = 2$. Then we must calculate another bisector and find intersection point O.
I already have solution - intersection point is $O(2, 2\frac{a^2 + b^2 - a}{b})$ but I cant compute it by myself. Can you give me some tips or all answer? I think that it is very hard task to compute. I tried use mathematica but it gives me wrong answers. Thanks for every help.