If $$\left(\frac{3}{2}+i \frac{\sqrt{3}}{2}\right)^{50}=3^{25}(x+i y)$$, where $$x$$ and $$y$$ are real, then the ordered pair $$(2 x, 2 y)$$ is

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