Quiz about Algèbre 2017-2018 ses1 done

Question 1

Si $$z=\frac{2-i}{2+i}\ ,Alors\ \left|z\right|=.............$$

Accepted Answer

1

Answer

3

Answer

4

Answer

5

Question 2

La determination principale de l'argument du nombre complexe $$2\left(\cos\ \frac{\pi}{4}-i\ \sin\ \frac{\pi}{4}\right)\ est\ ...............$$

Accepted Answer

$$-\frac{\pi}{4}$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{3\ \pi}{4}$$

Answer

$$-\frac{3\ \pi}{4}$$

Question 3

Le milieu du segment $$\overline{DE\ }\ que\ D\ \left(2\ ,\ 3\ ,\ 3\right)\ ,\ E\ \left(6\ ,\ -1\ ,\ -5\right)\ est\ ..................$$

Accepted Answer

$$\left(4\ ,\ 1\ ,\ -1\right)$$

Answer

(4 , 2 , 3)

Answer

$$\left(2\ ,\ 1\ ,\ \frac{1}{2}\right)$$

Answer

$$\left(4\ ,\ 1\ ,\ 1\right)$$

Question 4

Le plan $$3\ x+2\ y-4\ z=12$$ coupe une partie pour former l'axe des y de longueur ......................

Accepted Answer

6

Answer

3

Answer

2

Answer

4

Question 5

Les cosinus des angles directeurs du vecteur directeur $$\left(-1\ ,\ 2\ ,\ 3\right)$$ sont ......................

Accepted Answer

$$\left(\frac{-1}{\sqrt[]{14}}\ ,\ \frac{2}{\sqrt[]{14}}\ ,\ \frac{3}{\sqrt[]{14}}\right)$$

Answer

$$\left(\frac{-1}{4}\ ,\ \frac{1}{2\ }\ ,\ \frac{3}{4}\right)$$

Answer

$$\left(\frac{1}{\sqrt[]{14}}\ ,\ \frac{2}{\sqrt[]{14}}\ ,\ \frac{3}{\sqrt[]{14}}\right)$$

Answer

$$\left(\frac{-1}{14}\ ,\ \frac{1}{7}\ ,\ \frac{3}{14}\right)$$

Question 6

$$C_{n+2}^4=n^2-1\ $$ ,Alors $$n=..................$$

Accepted Answer

4

Answer

2

Answer

6

Answer

10

Question 7

les racines cubiques du nombre complexes z = 1+i sont .........

Accepted Answer

$$\left\{\sqrt[6]{2}e^{\frac{\pi}{12}i}\ ,\ \sqrt[6]{2}e^{-\frac{7\pi}{12}i},\sqrt[6]{2}e^{\frac{3\pi}{4}i}\right\}$$

Answer

$$\left\{\sqrt[6]{2}e^{\frac{\pi}{12}i}\ ,\ \sqrt[6]{2}e^{-\frac{\pi}{12}i},\sqrt[6]{2}e^{\frac{5\pi}{12}i}\right\}$$

Answer

$$\left\{\sqrt[6]{2}e^{\frac{\pi}{12}i}\ ,\ \sqrt[6]{2}e^{-\frac{\pi}{12}i},\sqrt[6]{2}e^{\frac{3\pi}{12}i}\right\}$$

Answer

$$\left\{\sqrt[6]{2}e^{\frac{\pi}{12}i}\ ,\ \sqrt[6]{2}e^{-\frac{7\pi}{12}i},\sqrt[6]{2}e^{\frac{5\pi}{12}i}\right\}$$

Question 8

ABCD est un rectangle tel que AB = 6cm et BC = 8cm alors $$AB^{\longrightarrow}\ .\ AC^{\longrightarrow}$$ = .........

Accepted Answer

36

Answer

64

Answer

48

Answer

$$24\ \sqrt[]{2}$$

Question 9

Question 9.

Accepted Answer

50

Answer

53

Answer

10

Answer

25

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