JEE Math Practice Question

Let the lines (2 $$-$$ i)z = (2 + i)$$\overline z $$ and (2 $$+$$ i)z + (i $$-$$ 2)$$\overline z $$ $$-$$ 4i = 0, (here i2 = $$-$$1) be normal to a circle C. If the line iz + $$\overline z $$ + 1 + i = 0 is tangent to this circle C, then its radius is :

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