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+ scriptstyle sqrt{2}

2)1- scriptstyle sqrt{2}

3)2+ scriptstyle sqrt{2}

4)2- scriptstyle sqrt{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 the co-ordinates of the incentre-

So the answer is option (4)

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