6. Choose a point $(x, y)$ on the coordinate plane such that its distances to the $x$-axis, $y$-axis, and the line $x+y=2$ are the same, then the value of $x$ is
A. $\sqrt{2}-1$
B. $2-\sqrt{2}$
C. 1
D. Cannot be uniquely determined
6. D Hint: There are four points, their x-coordinates are $-\sqrt{2}, 2-\sqrt{2}, 2+\sqrt{2}$ and $\sqrt{2}$.