Complex Numbers And Quadratic Equations question 316
Question: If $ |z|=2 $ , then the points representing the complex numbers $ -1+5z $ will lie on a
Options:
A) Circle
B) Straight line
C) Parabola
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Let $ \omega =-1+5z $ , then $ \omega +1=5z $
$ \Rightarrow |\omega +1|=5|z|=5\times 2=10 $ ( $ \because |z|=2, $ given value) Thus $ \omega $ lies on a circle.
BETA
