Complex Numbers And Quadratic Equations question 465
Question: If $ | z | $ =1, then the point representing the complex number -1+3z will lie on
Options:
A) a circle
B) a straight line
C) a parabola
D) a hyperbola
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ | z |=1,let\alpha =-1+3z $
$ \Rightarrow a+1=3z $
$ \Rightarrow | a+1 |=3| z |=3 $ Hence, a lies on a circle centered at -1 and radius equal to 3.
BETA
