If the conjugate of $$(x+i y)(1-2 i)$$ be $$1+i$$, then

The argument of $${{1 - i\sqrt 3 } \over {1 + i\sqrt 3 }}$$ is

Evaluate $${\left[ {{i^{22}} + {{\left( {{1 \over i}} \right)}^{25}}} \right]^3}$$

$${(i + \sqrt 3 )^{100}} + {(i - \sqrt 3 )^{100}} + {2^{100}}$$ is equal to