1. Tardigrade
  2. Question
  3. Mathematics
  4. If |z|=2, then the points representing the complex numbers -1+5 z will lie on a

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

Complex Numbers and Quadratic Equations

Solution:

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