Is ">=1" Valid for a Circle Equation?

[DrMath]

Homework Statement

is:
>= 1

valid for a circle equation?
See attached?

Homework Equations

reference attached

The Attempt at a Solution

reference attached

 

[rock.freak667]

if you mean x²+y²≥1 , then yes it is a 'circle' in essence but the points (x,y) that satisfy the inequality do not lie on the circle itself like if if it was x²+y²=1

 

[tiny-tim]

Hi DrMath!

(have a ≥ and try using the X² and X₂ tags just above the Reply box )

Your picture says |z - 2j| ≥ 1 …

in other words, the magnitude of the "vector" from 2j to z has length ≥ 1 …

so z is the exterior (and boundary) of the circle of length 1 and centre at 2j

(btw, it's easier to use "vectors" rather than coordinates for as problem like this )

 

[DrMath]

Thanks tiny-tim
oh.. how to become a Homework Helper here?

 

[tiny-tim]

just help people with their homework! ​