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. None of these

Answer 1

The correct option is A

Circle

Let $\omega$=-1+5z, then $\omega$+1=5z

$\Rightarrow$|$\omega$+1|=5|z|=5*2=10

($\because$|z|=2, Given vlaue)

Thus $\omega$ lies on a circle.