The equation of the bisector of that angle between the lines x + y = 3 and 2x - y = 2 which contains the point (1, 1) is

First we re-write the equations of the two lines in such a way that the values of the expressions on the left hand sides of the equality for x = 1, y = 1 become positive. Re-writing the given equations, we obtain−x−y+3=0 and −2x+y+2=0Now, we obtain the bisector of the angle containing pointtl., 1) for positive sign. The required bisector is given by−x−y+3(−1)2+(−1)2=+−2x+y+2(−2)2+12(5−22)x+(5+2)y−35+22=0.