Question

The area of the triangle formed by the three complex numbers $1+i$, $i-1$ , $2i$ in the Argand diagram is:

• A. $\frac{1}{2}$
• B. $1$
• C. $\sqrt{2}$
• D. $2$

Answer 1

The correct option is B $1$

The three vertices are $A(1,1),B(1,-1)$ and $C(0,2)$

Base $AB=2$

Height $=1-0=1$

Area $=\frac{1}{2}\times$ Base $\times$ Height

Area $=1$