Question

If z $\ne$0 is a complex number, then z, iz, -z, -iz are the vertices of a

• A. Square
• B. rectangle
• C. trapezium
• D. parallelogram

Answer 1

The correct option is A

Square

i can be written as $e^{\left(i\pi /2\right)}$. If we multiply a complex number by $e^{\left(i\pi /2\right)}$, its arguments will increase by and the modulus will remain the same.
SoSo, the points z, iz, $i^2$z, $i^3$z can be marked as

Clearly, they form a square.
A, B, C, D