Question

Find loci of the points in complex plane such that $\mathrm{Im}(\frac{z-z_1}{z-z_2})^n=0$

score 182 · Answer 1 · 2026-04-15 04:04:08

182

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Find loci of the points in complex plane such that $\mathrm{Im}(\frac{z-z_1}{z-z_2})^n=0$

Published on 15 Apr 2026 - 4:04

score 221 · Answer 2 · 2026-04-13 06:41:15

221

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What's the result? $1/i=?$, where $i=\sqrt{-1}$

Published on 13 Apr 2026 - 6:41

score 239 · Answer 3 · 2026-04-10 19:13:07

239

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Finding argument to complex number?

Published on 10 Apr 2026 - 19:13

score 11.1k · Answer 4 · 2026-04-17 03:48:29

11.1k

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Proving $\arg(zw)=\arg(z)+\arg(w)$

Published on 17 Apr 2026 - 3:48

score 3.3k · Answer 5 · 2026-04-15 00:39:37

3.3k

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Solve cos(z) + sin(z) = i, where z is a complex number and i the imaginary unit

Published on 15 Apr 2026 - 0:39

score 40 · Answer 6 · 2026-04-13 14:57:28

40

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Question regarding in periodic function

Published on 13 Apr 2026 - 14:57

score 79 · Answer 7 · 2026-04-11 00:44:28

79

Views

Complex roots of equation $z^\mu=r$

Published on 11 Apr 2026 - 0:44

score 81 · Answer 8 · 2026-04-08 22:06:36

81

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How can I prove this equation?

Published on 08 Apr 2026 - 22:06

score 995 · Answer 9 · 2026-04-11 03:50:32

995

Views

Why is Euler's formula valid for all $n$ but not De Moivre's formula?

Published on 11 Apr 2026 - 3:50

score 1.9k · Answer 10 · 2026-04-15 10:23:53

1.9k

Views

Generating the special linear group of 2 by 2 matrices over the integers.

Published on 15 Apr 2026 - 10:23

score 343 · Answer 11 · 2026-04-16 18:20:50

343

Views

Why is Euler's formula defined for non-integer values?

Published on 16 Apr 2026 - 18:20

score 154 · Answer 12 · 2026-04-12 12:17:45

154

Views

Trignometric problem (using De Movier's Theorem)

Published on 12 Apr 2026 - 12:17

score 993 · Answer 13 · 2026-04-09 10:27:12

993

Views

Is an absolute value acting on complex numbers a linear operator?

Published on 09 Apr 2026 - 10:27

score 405 · Answer 14 · 2026-04-15 11:20:38

405

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Calculate the absolute value of $z=(10+5i)(1+10i)(4+2i)(5+2i)$

Published on 15 Apr 2026 - 11:20

score 5k · Answer 15 · 2026-04-13 00:38:47

5k

Views

Quadratic Formula for complex variable with real coefficients

Published on 13 Apr 2026 - 0:38

List Question

Find loci of the points in complex plane such that $\mathrm{Im}(\frac{z-z_1}{z-z_2})^n=0$

What's the result? $1/i=?$, where $i=\sqrt{-1}$

Finding argument to complex number?

Proving $\arg(zw)=\arg(z)+\arg(w)$

Solve cos(z) + sin(z) = i, where z is a complex number and i the imaginary unit

Question regarding in periodic function

Complex roots of equation $z^\mu=r$

How can I prove this equation?

Why is Euler's formula valid for all $n$ but not De Moivre's formula?

Generating the special linear group of 2 by 2 matrices over the integers.

Why is Euler's formula defined for non-integer values?

Trignometric problem (using De Movier's Theorem)

Is an absolute value acting on complex numbers a linear operator?

Calculate the absolute value of $z=(10+5i)(1+10i)(4+2i)(5+2i)$

Quadratic Formula for complex variable with real coefficients

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