The x co-ordinate of the incentre of the triangle that has the co-ordinates of mid-points of its sides as (0,1) (1,1) and (1,0) is:
1) 1+
2)1-
3)2+
4)2-
Let the co-ordinates of the vertices of the triangle be.
So as we have the mid-point . So,
Solving the above we get the 3 vertices as A(0,0) B(2,0) C(0,2)
So,
So the co-ordinates of the incentre-
So the answer is option (4)