The x−coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as $(0, 1) (1, 1)$ and $(1, 0)$ is :

Question

$\begin{array}{1 1} (1) 2+\sqrt 2 \\(2) 2 - \sqrt 2 \\ (3) 1+ \sqrt 2 \\ (4) 1- \sqrt 2 \end {array}$