Question

State whether the following statement is true or false.

$|z-3|=1$ represents all point $z$ on the

boundary of a circle with center$(3,0)$ and radius $1$.

• A. True
• B. False

Answer 1

The correct option is A True

In a complex plane a circle whose centre is $z_0$ & radius is $r$ is given by:

$|z-z_0|=r$.

Hence $|z-3|=1$ represents a circle whose centre is $(3,0)$ and radius is $1$.