Question

The complex number $z=x+jy$ which satisfy the equation $|z+1|=1$ lie on

• A. a circle with $(1,0)$ as the centre and radius $1$
• B. a circle with $(-1,0)$ as the centre and radius $1$
• C. $y-$axis
• D. $x-$axis

Answer 1

The correct option is B a circle with $(-1,0)$ as the centre and radius $1$

The general equation of circle is given by $|z-z_0|=1$


Now the equation of the given circle is $|z+1|=1$


$\therefore$ Centre $=(-1,0)$ and radius $=1$