Let Z and W be complex numbers such that |Z| = |W|, and arg Z denotes the principal argument of Z. Statement 1:If arg Z + arg W = p, then Z W = – . Statement 2: |Z| = |W|, implies arg Z – arg W = p.

Question:

Let $Z$ and $W$ be complex numbers such that $|Z|=|W|$, and arg $Z$ denotes the principal argument of $Z$.

Statement 1:If $\arg Z+\arg W=\pi$, then $Z=-\bar{W}$.