Numere complexe-3

Numere complexe-3

10th Grade

7 Qs

quiz-placeholder

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Numere complexe-3

Numere complexe-3

Assessment

Quiz

Mathematics

10th Grade

Hard

Created by

CAROLINA BÎRZĂIANU

Used 5+ times

FREE Resource

7 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Rezultatul calculului a=(4+3i)2+(34i)2a=\left(4+3i\right)^2+\left(3-4i\right)^2   este

50

48i

0

alta valoare

2.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Se consideră numărul complex z=1+iz=1+i   .Rezultatul calculului  2zz22z-z^2  este

4i

2

0

Alta valoare

3.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

  z=(1+i3)2(1i3)2 \ z=\left(1+i\sqrt{3}\right)^2-\left(1-i\sqrt{3}\right)^2\   are partea reala

-4

 4i34i\sqrt{3}  

 434\sqrt{3}  

0

4.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

Daca  z2+z+2=0z^2+z+2=0  atunci  z2+4z2=z^2+\frac{4}{z^2}=  

2

-2

-3

0

5.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Modulul numărului  z=(1+i)10z=\left(1+i\right)^{10}  este

 2102^{10}  

2

 252^5  

1

6.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Daca 1+i1i=a+bi a,bR\frac{1+i}{1-i}=a+bi\ a,b\in R   atunci

a=1;b=1

a=1;b=0

a=0;b=1

a=0;b=0

7.

MULTIPLE SELECT QUESTION

3 mins • 1 pt

O rădăcina de ordinul 3 a numărului complex z=-1 este

1

 cos4π3+i sin 4π3\cos\frac{4\pi}{3}+i\ \sin\ \frac{4\pi}{3}  

 cos 2π3+i sin 2π3\cos\ \frac{2\pi}{3}+i\ \sin\ \frac{2\pi}{3}  

 cos 5π3+i sin 5π3\cos\ \frac{5\pi}{3}+i\ \sin\ \frac{5\pi}{3}