Quiz about Ulangan Bilangan Kompleks

Question 1

Bilangan kompleks ditulis dalam bentuk a + bi, dimana a adalah bagian ... dan b adalah bagian ...

Accepted Answer

Real dan Imajiner

Answer

Rasional dan irasional

Answer

Positif dan negatif

Answer

Bulat dan pecahan

Question 2

Manakah yang bukan bentuk bilangan kompleks?

Accepted Answer

$$\frac{3}{2}x+2y$$

Answer

$$z\ =\sqrt[]{2\ }\left(\cos45\degree+i\ \sin45\degree\right)$$

Answer

$$z=\sqrt[]{2}e^{i\ 45\degree}$$

Answer

$$z=3+2i$$

Question 3

Misalkan diberikan bilangan kompleks z₁ = 2 + 3i dan z₂ = 1 - i. Tentukan z₁+ z₂ !

Accepted Answer

$$3+2i$$

Answer

$$4+3i$$

Answer

$$1+i$$

Answer

$$3-2i$$

Question 4

Jika z₁ = 8 + 9i dan z₂ = 10 - 15i. tentukan 2z₁ - z₂!

Accepted Answer

$$6+33i$$

Answer

$$5-33i$$

Answer

$$6-33i$$

Answer

$$5+33i$$

Question 5

Misalkan diberikan bilangan kompleks z₁ = $$2\ +\sqrt[]{2}i$$ dan z₂ = $$3-\sqrt[]{2}i$$ Tentukan z₁ x z₂ !

Accepted Answer

$$8+\sqrt[]{2}i$$

Answer

$$9-\sqrt[]{2}i$$

Answer

$$9+\sqrt[]{2}i$$

Answer

$$8-\sqrt[]{2}i$$

Question 6

Diberikan bilangan kompleks z₁ = 5 + $$\sqrt[]{3}$$ Tentukan invers dari z₁!

Accepted Answer

$$\frac{5}{28}-\frac{\sqrt[]{3}}{28}i$$

Answer

$$\frac{5}{29}+\frac{\sqrt[]{4}}{29}i$$

Answer

$$\frac{5}{28}+\frac{\sqrt[]{3}}{28}i$$

Answer

$$\frac{5}{29}-\frac{\sqrt[]{4}}{29}i$$

Question 7

Jika z₁ = 2 + 3i dan z₂ = 4 + 2i tentukan invers dari z₁ + z₂ !

Accepted Answer

$$\frac{6}{61}-\frac{5}{61}i$$

Answer

$$6+5i$$

Answer

$$\frac{6}{61}+\frac{5}{61}i$$

Answer

$$6-5i$$

Question 8

Tentukan sekawan dari bilangan kompleks z₁+ z₂ . Jika z₁= 9 + 3i dan z₂ = 7 - 2i.

Accepted Answer

$$16-i$$

Answer

$$16\ +i$$

Answer

$$2+5i$$

Answer

$$2-5i$$

Question 9

Jika diketahui z₁ = 3 + $$\sqrt[]{3}i$$ dan z₂ = 2 - $$\sqrt[]{2}i$$ tentukan modulus dari z₁+ z₂ !

Accepted Answer

$$2\sqrt[]{3}+\sqrt[]{6}$$

Answer

$$\sqrt[]{6}$$

Answer

$$2\sqrt[]{3}$$

Answer

$$2\sqrt[]{3}-\sqrt[]{6}$$

Question 10

Tentukan argumen bilangan kompleks z = $$\sqrt[]{3}+i$$

Accepted Answer

$$Arg\left(z\right)=30\degree+2k\pi,\ k\ \epsilon\ Z$$

Answer

$$Arg\left(z\right)=45\degree+2k\pi,\ k\ \epsilon\ Z$$

Answer

$$Arg\left(z\right)=45\degree-2k\pi,\ k\ \epsilon\ Z$$

Answer

$$Arg\left(z\right)=30\degree-2k\pi,\ k\ \epsilon\ Z$$

Ulangan Bilangan Kompleks

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