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Math Help - annoying complex numbers

  1. #1
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    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?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by skystar View Post
    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
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  3. #3
    Flow Master
    mr fantastic's Avatar
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    Quote Originally Posted by skystar View Post
    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 ......
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