====== Question 1, Exercise 1.2 ======
Solutions of Question 1 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. 
====Question 1(i)====
Show that for any complex number, $\operatorname{Re}(i z)=-\operatorname{Im}(z)$.

**Solution.** 
Suppose $$z=x+iy$$
\begin{align}
iz&=i(x+iy)\\
&=ix-y\end{align}
Now 
\begin{align}Re(iz)&=-y\\
\implies Re(iz)&=-Im(z)\end{align}

====Question 1(ii)====
Show that for any complex number, $\operatorname{Im}(i z)=\operatorname{Re}(z)$.

**Solution.** 
Suppose $$z=x+iy$$
\begin{align}iz&=i(x+iy)\\
&=ix-y\end{align}
Now \begin{align}Im(iz)&=x\\
\implies Im(iz)&=Re(z)\end{align}



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