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 (1) `2-sqrt(2)` (2) `1+sqrt(2)` (3) `1-sqrt(2)` (4) `2+sqrt(2)`

Options

A. `2+sqrt(2)`
B. `2-sqrt(2)`
C. `1+sqrt(2)`
D. `-sqrt(2)`

Answer

B