Mathematics - Complex Number Question with Solution | TestHub

Let ${\mathrm{z}}_1$ and ${\mathrm{z}}_2$ be two distinct complex numbers and let $\mathrm{z}=(1-\mathrm{t}){\mathrm{z}}_1+\mathrm{t}{\mathrm{z}}_2$ for some real number t with $0<\mathrm{t}<1$. If $\mathrm{Arg}(\mathrm{w})$ denotes the principal argument of a non-zero complex number w , then