|COMPLEXE NUMBERS| What is the geometrical representation of |z| = 2? Thank you!
Hello! I don't get this because I thought you needed an angle to solve this? Obviously, that is probably not the case...
Hello! I don't get this because I thought you needed an angle to solve this? Obviously, that is probably not the case...
3 Answers
Circle
Explanation:
Consider
Z = x + iy
therefore |z| =
also |z| = 2
hence
therefore it represents a circle
Hope u find it helpful :)
circle centre
Explanation:
so replace
by definition
circle centre
For any complex number
Let
|z|^2=zz^"*" =(x+iy)(x-iy)=x^2+y^2
Now the given equation becomes
sqrt(x^2+y^2)=2
Squaring both sides we get
x^2+y^2=4
The equation represents a circle with center at the origin and radius