Area of the triangle formed by the line x+y=3 and the angle bisectors of the pairs of straight x2−y2+2y=1 is

x2−y2+2y=1 or x=±(y−1)The bisectors of the above lines are x=0 and y=1So, the area between x=0,y=1, and x+y=3 is the shaded region shown in the figure. The area is given by (1/2)×2×2=2sq.units