Year 11 Maths - Specialist Complex numbers

Starting to build the complex numbers

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Questions

Question 1

56726

State the value of $Re(z)$ and $Im(z)$ for

i) $z=2i$

ii) $z=-1+i$

Answer

i) $Rz(z)=0,\,Im(z)=2$ ii) $Rz(z)=-1,\,Im(z)=1$

Worked Solution

$$
\begin{aligned}
z=a+i b& \quad Re(2)=a, \operatorname{lm}(2)=b \\
\therefore \text { (i) }\quad &\operatorname{Re}(2)=0, \operatorname{Im}(2)=2 \\
\quad \text { (ii) }\quad &\operatorname{Re}(2)=-1, \operatorname{Im}(2)=1
\end{aligned}
$$

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