JEE Math Practice Question

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

1. A.$$3-\sqrt{2}$$
2. B.$$2-\sqrt{3}$$
3. C.$$\sqrt{2}-1$$
4. D.$$\sqrt{2}+1$$