Let z be a complex number such that $$\begin{aligned}
& | z - 1 | = | z - 2 | \\
& | z | = \sqrt { 3 }
\end{aligned}$$ What is the value of $| z - 3 |$? A) 2 B) $\sqrt { 2 }$ C) $\sqrt { 3 }$ D) $1 + \sqrt { 2 }$ E) $\sqrt { 3 } - 1$
Let z be a complex number such that
$$\begin{aligned}
& | z - 1 | = | z - 2 | \\
& | z | = \sqrt { 3 }
\end{aligned}$$
What is the value of $| z - 3 |$?\\
A) 2\\
B) $\sqrt { 2 }$\\
C) $\sqrt { 3 }$\\
D) $1 + \sqrt { 2 }$\\
E) $\sqrt { 3 } - 1$