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 $\frac{-2}{|z|}$ on the Argand diagram, we first need to determine the modulus of the complex number $z$. The modulus is given by $|z|$, which is the distance from the origin to the point $z$ on the Argand plane.

Next, we calculate the value of $\frac{-2}{|z|}$. This is a real number, as it involves division of $-2$ by the modulus $|z|$, which is always positive. Therefore, the result will be a negative value.

In the Argand diagram, a negative real number will be plotted on the negative side of the real axis. Since $|z|$ is positive, $\frac{-2}{|z|}$ will always lie on the negative real axis at a distance of rac{2}{|z|} from the origin, which points directly to the left.

Thus, the correct choice that represents this position is option A.