Question

If $|z-1-i|=1$, then the locus of a point represented by the complex number $5(z-i)-6$ is

• A. a circle with centre $(1,0)$ and radius $3$
• B. a circle with centre $(-1,0)$ and radius $5$
• C. a line passing through the origin
• D. a line passing through $(-1,0)$

Answer 1

The correct option is B a circle with centre $(-1,0)$ and radius $5$

$|z-1-i|=1$


From graph, we can conclude that
$5(z-1)-6$ is a circle with centre $(-1,0)$ and radius $5$.