Question Type 1: Drawing complex numbers on the Argand diagram Bootcamps

Plot the complex number $z = 3 - 4i$ on an Argand diagram.

Plot the complex number $z = 1 + 2i$ and its conjugate $\overline{z}$ on an Argand diagram.

For $z=2+2i$ plot $z$ and $2z$ on the same Argand diagram.

Plot the complex number $z=-3+4i$ and its reflection in the real axis on an Argand diagram.

Given $z_{1}=2+3i$ and $z_{2}=-1+2i$, plot the point representing $z_{1}+z_{2}$ on an Argand diagram.

Sketch the locus of points $z$ in the Argand diagram satisfying $\mathrm{Re}(z)=-1$.

Plot the complex number $z = 1 - i$ and its image under multiplication by $i$ on an Argand diagram.

Let $z_{1}=1+\sqrt{3}\,i$. Find the image of $z_{1}$ under multiplication by $i$ and plot both points on an Argand diagram.

Plot the points corresponding to $z=2+i$, $-z$, $\overline{z}$ and $-\overline{z}$ on an Argand diagram and describe the quadrilateral formed.

Vertices of a triangle in the Argand diagram are given by $z_{1}=i,\quad z_{2}=2,\quad z_{3}=-1+2i$. Plot these points and determine the coordinates of the centroid on the diagram.