Complication Transformation

Geometry Level 3

Let α \alpha and β \beta denote complex numbers such that α 1 = 1 |\alpha - 1| = 1 and β i = 1 |\beta - i| = 1 . Which of the following best illustrates the region ( α 1 ) ( β 1 ) (\alpha - 1)(\beta - 1) in the Argand plane ?

Circular annulus Complete circle Elliptic annulus Complete ellipse None of the given choices above.

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1 solution

Jason Gomez
Feb 6, 2021

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