Question

If $|z|=2$, then the points representing the complex numbers $-1+5z$ will lie on a

• A. circle
• B. straight line
• C. parabola
• D. hyperbola

Answer 1

Answer: (A)

$\omega =-1+5z,$ then $\omega +1=5z$
$|\omega +1|=5|z|=5\times 2$
$|\omega +1|=10$
Thus $\omega$ lies on a circle