Sean los números complejos z 1 = 3 + 4 i z_1=3+4i z 1 = 3 + 4 i y z 2 = − 2 + 3 i z_2=-2+3i z 2 = − 2 + 3 i Indique el resultado de: z 1 + z 2 z_1+z_2 z 1 + z 2

− 6 + 12 i -6+12i − 6 + 1 2 i

Indique le módulo de: z = 2 − 7 i z=\sqrt{2}-\sqrt{7}i z = 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> i

5 \sqrt{5} 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 5 -\sqrt{5} − 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Sean los números complejos z 1 = 3 + 4 i z_1=3+4i z 1 = 3 + 4 i y z 2 = − 2 + 3 i z_2=-2+3i z 2 = − 2 + 3 i Indique el resultado de: 3 z 1 × z 2 3z_1\times z_2 3 z 1 × z 2

− 54 + 3 i -54+3i − 5 4 + 3 i

− 54 i + 3 -54i+3 − 5 4 i + 3

Números Complejos I: quiz de 10 preguntas (grados 7 a 12)

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Indique un número complejo

$2+\sqrt{5}$

$5-\sqrt{3}i$

$\frac{4}{6}$

0

2.

FILL IN THE BLANKS QUESTION

1 min • 5 pts

En el número complejo representado por: $a+bi$
a representa la parte (a) y b representa la parte imaginaria

3.

MULTIPLE CHOICE QUESTION

45 sec • 5 pts

Indique el complejo imaginario puro

$2+3i$

$-6+4i$

$-\frac{2}{3}i$

9

4.

MULTIPLE CHOICE QUESTION

45 sec • 5 pts

Indique el conjugado $\overline{z}$ del siguiente complejo $z\ =\ 5-7i$

$-5-7i$

$5+7i$

$-5+7i$

$7i$

5.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Calcular: $3i^3+2i^4-5i^2-7i^{13}$

$7-10i$

$7+4i$

$3-10i$

$7-4i$

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Sean los números complejos $z_1=3+4i$ y $z_2=-2+3i$
Indique el resultado de: $z_1+z_2$

$1+4i$

$1+7i$

$-6+12i$

$-1+7i$

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Indique le módulo de:
$z=\sqrt{2}-\sqrt{7}i$

$\sqrt{5}$

3

$-\sqrt{5}$

9

8.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Calcule:
$L=i+i^2+i^3+i^4+i^5+\cdot\cdot\cdot+i^{2000}+i^{2021}$

i

0

1

- i

9.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Sean los números complejos $z_1=3+4i$ y $z_2=-2+3i$
Indique el resultado de: $3z_1\times z_2$

$3+54i$

$-54+3i$

$-18+i$

$-54i+3$

10.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

Indique el valor luego de reducir:
$\frac{1+i}{1-i}+\left(1-i\right)^2-\left(1+i\right)^4$

$4-i$

$i$

$-5i$

0

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Números Complejos I

Indique un número complejo

En el número complejo representado por: a+bia+bia+bi a representa la parte (a) y b representa la parte imaginaria

Indique el complejo imaginario puro

Indique el conjugado z‾\overline{z}z del siguiente complejo z = 5−7iz\ =\ 5-7iz = 5−7i

Calcular: 3i3+2i4−5i2−7i133i^3+2i^4-5i^2-7i^{13}3i3+2i4−5i2−7i13

Sean los números complejos z1=3+4iz_1=3+4iz1​=3+4i y z2=−2+3iz_2=-2+3iz2​=−2+3i Indique el resultado de: z1+z2z_1+z_2z1​+z2​

Indique le módulo de: z=2−7iz=\sqrt{2}-\sqrt{7}iz=2​−7​i

Calcule: L=i+i2+i3+i4+i5+⋅⋅⋅+i2000+i2021L=i+i^2+i^3+i^4+i^5+\cdot\cdot\cdot+i^{2000}+i^{2021}L=i+i2+i3+i4+i5+⋅⋅⋅+i2000+i2021

Sean los números complejos z1=3+4iz_1=3+4iz1​=3+4i y z2=−2+3iz_2=-2+3iz2​=−2+3i Indique el resultado de: 3z1×z23z_1\times z_23z1​×z2​

Indique el valor luego de reducir: 1+i1−i+(1−i)2−(1+i)4\frac{1+i}{1-i}+\left(1-i\right)^2-\left(1+i\right)^41−i1+i​+(1−i)2−(1+i)4

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Discover more resources for Mathematics

En el número complejo representado por: $a+bi$
a representa la parte (a) y b representa la parte imaginaria

Indique el conjugado $\overline{z}$ del siguiente complejo $z\ =\ 5-7i$

Calcular: $3i^3+2i^4-5i^2-7i^{13}$

Sean los números complejos $z_1=3+4i$ y $z_2=-2+3i$
Indique el resultado de: $z_1+z_2$

Indique le módulo de:
$z=\sqrt{2}-\sqrt{7}i$

Calcule:
$L=i+i^2+i^3+i^4+i^5+\cdot\cdot\cdot+i^{2000}+i^{2021}$

Sean los números complejos $z_1=3+4i$ y $z_2=-2+3i$
Indique el resultado de: $3z_1\times z_2$

Indique el valor luego de reducir:
$\frac{1+i}{1-i}+\left(1-i\right)^2-\left(1+i\right)^4$