Let $$C$$ be a circle with radius $$\sqrt{10}$$ units and centre at the origin. Let the line $$x + y = 2$$ intersects the circle $$C$$ at the points $$P$$ and $$Q$$. Let $$MN$$ be a chord of $$C$$ of length $$2$$ unit and slope $$-1$$. Then, a distance (in units) between the chord $$PQ$$ and the chord $$MN$$ is

A

$$3 - \sqrt{2}$$

B

$$\sqrt{2} + 1$$

C

$$\sqrt{2} - 1$$

D

$$2 - \sqrt{3}$$