The diagram shows the complex number z on the Argand diagram - HSC - SSCE Mathematics Extension 2 - Question 4 - 2020 - Paper 1

To find the position of rac{-2}{|z|} on the Argand diagram, we must first understand the modulus of the complex number $z$, denoted as $|z|$. The expression rac{-2}{|z|} indicates a complex number whose magnitude is rac{2}{|z|} and whose direction is opposite to that of $z$.

1. Determine the magnitude of $z$: Let $|z| = r$. Then, rac{-2}{|z|} = rac{-2}{r}.

2. Determine the direction: Since the direction of $|z|$ in the Argand diagram is upward or downward based on its position, rac{-2}{|z|} will lie in the opposite direction. If $z$ is located above the origin in the Argand plane, rac{-2}{|z|} will lie below the origin.

3. Compare with options: Compare the derived position with the provided diagrams. Diagrams that place a point directly below the origin (in the negative imaginary part) and consistent with the determined magnitude show the correct placement.

From this analysis, the correct diagram that denotes the position of rac{-2}{|z|} is clearly depicted in Diagram A.