If (0, 1), (1, 1) and (1, 0) are the mid points of the sides of a triangle, the coordinates of its incentre are

The given triangle is right-angled with verticesA(0, 0), B(2, 0) and C (0, 2).Coordinates of the incentre areax1+bx2+cx3a+b+c,ay1+by2+cy3a+b+c=22×0+2×2+2×022+2+2,22×0+2×0+2×222+2+2=(2−2,2−2)