# Math Help - annoying complex numbers

1. ## annoying complex numbers

ok if i have a hyperbolic line say |z-6|=3

this means centre at (6,0) and radius 3 correct?

when i turn it into terms with x and y does it go to....

(x-6)^2 +y^2 = 3

ORRRR

(x-6)^2 +y^2 = 9

because take the square root over?

2. Originally Posted by skystar
ok if i have a hyperbolic line say |z-6|=3

this means centre at (6,0) and radius 3 correct?

when i turn it into terms with x and y does it go to....

(x-6)^2 +y^2 = 3

ORRRR

(x-6)^2 +y^2 = 9

because take the square root over?
It's
$\sqrt{(x - 6)^2 + y^2} = 3$
so the second expression.

-Dan

3. Originally Posted by skystar
ok if i have a hyperbolic line say |z-6|=3

this means centre at (6,0) and radius 3 correct?

when i turn it into terms with x and y does it go to....

(x-6)^2 +y^2 = 3

ORRRR

(x-6)^2 +y^2 = 9

because take the square root over?
Geometrically |z-6|=3 is the set of points in the complex plane that are a constant distance 3 units from the point z = 6 ......