Exam and Course Preparation: Online Multiple Choice Questions (MCQ) on Complexes : vision algébrique - Studeo.app

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\Large\text{Déterminer }i^{2022}

\Large1

\Large-1

\Large i

\Large -i

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\large\text{Calculer }(\sqrt{7}-i)(4+\sqrt{2}i)

\sqrt{2}+4\sqrt{7}+i(\sqrt{14}-4)

\sqrt{2}-4\sqrt{7}+i(\sqrt{9}-4)

\sqrt{2}+4\sqrt{7}-i(\sqrt{9}-4)

\sqrt{2}+4\sqrt{7}+i(\sqrt{9}+4)

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\large\text{Résoudre}\\ (1-2x)+i(4-2y)=2-3i\\\text{d'inconnues }x,y\in\mathbb{R}

:

\large\text{S}=\{(4,2)\}

\large\text{S}=\{(-4,2)\}

\large\text{S}=\{(-\frac{1}{2},\frac{7}{2})\}

\large\text{S}=\{(\frac{1}{2},\frac{7}{2})\}

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\Large\text{On pose }\\ j=\frac{-1+i\sqrt{3}}{2}.\\ \ \\\text{Déterminer }j+j^2.

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

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\large\text{Résoudre }\\\Large\frac{z}{1+2i}\large+3i=3+4i\\\text{d'inconnue }z\in\mathbb{C}

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AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

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\large\text{Soit }z\in\mathbb{C}.\\\text{Quelle est la particularité}\\\text{de }\Large\frac{z-\bar{z}}{z+\bar{z}}\large\text{ ?}

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

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\large\text{Écrire sous forme}\\\text{algébrique}\\ z=\Large\frac{2}{3-4i}.

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

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\large\text{Résoudre dans }\mathbb{C},\\ z^2+2=0.

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

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\large\text{Résoudre dans }\mathbb{C},\\ 2z^2-4z+4=0

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

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\Large\text{Déterminer : }\quad\LARGE\binom{5}{3}

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AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

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\Large\text{Développer }(1+i)^4

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AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA

AAAA AA AA A A AA