complex numbers Flashcards

1
Q

|Z - W| = r

A

this is a circle with centre W and radius R

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2
Q

|Z - W|+|Z - V| = r

A

this is an ellipse with W and V being points on the long axis and R being the length of the long axis

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3
Q

|Z - W|=|Z - V|

A

Perpendicular bisector of
line connecting W and V

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4
Q

ARG (Z - (-1)) = pie/4

A

x intercept at -1 making an angle of pie/4

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5
Q

how can r(cosx + isinx) be written as

A

re^ix

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6
Q

how many solutions do we want for something to the power of

A
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