how do I plot $$\left| z - i \right| \ge 2$$ ?
I already formed it to sqrt{x² + (y-1)²} $$\ge2$$ or rather sqrt{x² + y² - 2y +1} $$\ge2$$
but what now?

Question

how do I plot $$\left| z - i \right| \ge 2$$ ?
I already formed it to sqrt{x² + (y-1)²} $$\ge2$$ or rather sqrt{x² + y² - 2y +1} $$\ge2$$ 
but what now?

praxer · Answer

then square both sides, the left hand side Sqrt. shall be removed and see if it works... :)

praxer · Answer

I think you will get $$x^2+y^2-2y \ge 3$$

we can write this as,

$$(x-0)^2+(y-1)^2=4 \ or 2^2 $$

this is the equation of a circle. I think, this is what you require. :)

praxer · Answer

https://www.desmos.com/calculator/psgdb2yvmx

praxer · Answer

Did you understand this @snuggles7. :)

anonymous · Answer

are you a wizard? o.o

how do I get  (x−0)²+(y−1)²=4 or2²
from x²+y²−2y≥3

anonymous · Answer

I've heard of the circle equation but I never actually used it @__@"

anonymous · Answer

aa...! I fathom this is a case of 'forcing a formula' on a mathematical problem
like expanding for the sake of obtaining the 3rd binomial formula! 
thank you, yes
I understood

anonymous · Answer

buuuu~t... why does wolfram alpha show me THIS: http://www.wolframalpha.com/input/?i=plot+ |z-i|+%3E+2

praxer · Answer

https://www.desmos.com/calculator/psgdb2yvmx