Quiz about Penilaian Harian 1 : Pengertian dan operasi Bilangan Kompleks

Question 1

Bagian imajiner bilangan kompleks $$5\ +\sqrt[]{5}i$$ adalah ....

Accepted Answer

$$\sqrt[]{5}$$

Answer

$$-\sqrt[]{5}$$

Answer

-5

Answer

5

Answer

5 $$\sqrt[]{5}$$

Question 2

Diketahui z = $$-\sqrt[]{3}i$$ . Bagian real z adalah ....

Accepted Answer

0

Answer

3

Answer

$$\sqrt[]{3}$$

Answer

1

Answer

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

Question 3

Bilangan kompleks dengan Im(z) = 0 adalah ....

Accepted Answer

z = 5 + 4i²

Answer

z = 7i

Answer

$$z\ =\ \sqrt[]{2}i$$

Answer

z = 6 - 6i

Answer

z = $$2\ -\ \sqrt[]{-4}+i$$

Question 4

Penyelesaian $$x^2+1$$ adalah ....

Accepted Answer

-i

Answer

2i

Answer

-1

Answer

0

Answer

1

Question 5

Perhatikan gambar yang tersedia. Bilangan kompleks yang disajikan pada gambar adalah ....

Accepted Answer

z = - 3 + 2i

Answer

z = 2 -3i

Answer

z = 2 + 3i

Answer

z = 3 + 2i

Answer

z = - 3 - 2i

Question 6

Bentuk polar z = 1 - i adalah ....

Accepted Answer

$$\sqrt[]{2}\left(\cos\ 315^o\ +\ i\ \sin\ 315^o\right)$$

Answer

$$\sqrt[]{2}\left(\cos\ 45^o\ +\ i\ \sin\ 45^o\right)$$

Answer

$$2\left(\cos\ 315^o\ +\ i\ \sin\ 315^o\right)$$

Answer

$$2\left(\cos\ 45^o\ +\ i\ \sin\ 45^o\right)$$

Answer

$$\cos\ 315^o\ +\ i\ \sin\ 315^o$$

Question 7

Bentuk eksponen z = $$\sqrt[]{7}i$$ adalah ....

Accepted Answer

$$z=\sqrt[]{7}e^{i90^o}$$

Answer

z = 7 $$e^{i90^o}$$

Answer

$$z=7e^{i0^o}$$

Answer

$$z=\sqrt[]{7}e^{i60^o}$$

Answer

$$z=\sqrt[]{7}e^{i0^o}$$

Question 8

Bentuk kartesius $$z=2\left(\cos\ 30^o+i\sin30^o\right)$$ adalah ....

Accepted Answer

$$\sqrt[]{3}+i$$

Answer

$$\sqrt[]{3}-i$$

Answer

$$1-\sqrt[]{3}i$$

Answer

$$1+\sqrt[]{3}i$$

Answer

$$-1-\sqrt[]{3}i$$

Question 9

Nilai x yang memenuhi 2x - 5i = 2x - (7-x)i adalah ....

Accepted Answer

2

Answer

-12

Answer

-2

Answer

1

Answer

12

Question 10

Diketahui z₁ = a + 2ai dan z₂ = 2 - 2i + 3i² . Jika z₁= z₂ , nilai a yang memenuhi adalah ....

Accepted Answer

-1

Answer

1

Answer

2

Answer

0

Answer

3

Question 11

Jika $$z\ =\sqrt[]{3}-\sqrt[]{2}i$$ maka -z = ....

Accepted Answer

$$-\sqrt[]{3}+\sqrt[]{2}i$$

Answer

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

Answer

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

Answer

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

Answer

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

Question 12

Hasil (2+3i) + (6-3i) adalah ....

Accepted Answer

8

Answer

8i

Answer

8 + i

Answer

8 - i

Answer

8 + 6i

Question 13

Hasil dari (5 - 7i) - (2 + 2i) adalah ....

Accepted Answer

3 - 9i

Answer

3 + 9i

Answer

3 + 5i

Answer

3 - 5i

Answer

-3 + 5i

Question 14

Hasil $$\left(2+\sqrt[]{2}i\right)\left(\sqrt[]{2}-2i\right)$$ adalah ....

Accepted Answer

$$4\sqrt[]{2}\ -2i$$

Answer

$$2\sqrt[]{2}\ -4i$$

Answer

$$2\sqrt[]{2}\ +4i$$

Answer

$$4\sqrt[]{2}\ -4i$$

Answer

$$4\sqrt[]{2}\ +2i$$

Question 15

Diketahui z = -3 - i, maka 3z = ....

Accepted Answer

-9 - 3i

Answer

-9 + i

Answer

9 + 3i

Answer

9 - i

Answer

-9 + 3i

Question 16

Diketahui z₁ = 1 + i dan z₂ = -1 - i. Hasil z₁ + 2z₂ adalah ....

Accepted Answer

-1 - i

Answer

1 + 2i

Answer

2i

Answer

0

Answer

-3 - 3i

Question 17

Diketahui z₁ = $$\sqrt[]{3}+i$$ dan z₂ = $$\sqrt[]{3}-i$$ . Hasil 3z₁ - z₂ = ....

Accepted Answer

$$2\sqrt[]{3}+4i$$

Answer

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

Answer

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

Answer

$$2\sqrt[]{3}-4i$$

Answer

2i

Question 18

Diketahui z = -2 - i, maka 2z x z = ....

Accepted Answer

6 + 8i

Answer

6 - 8i

Answer

10 + 8i

Answer

10 - 8i

Answer

-10 - 8i

Question 19

Diketahui z = 1 - i, maka z^-1 = ....

Accepted Answer

$$\frac{1}{2}+\frac{1}{2}i$$

Answer

$$-\frac{1}{2}-\frac{1}{2}i$$

Answer

$$\frac{1}{2}-\frac{1}{2}i$$

Answer

$$1+i$$

Answer

$$2+2i$$

Question 20

Diketahui z₁ = 3 + i, z₂ = 1 - 2i, dan z₃ = -1 + 3i. Hasil dari (z₁ + z₂) x z₃ = ....

Accepted Answer

-1 + 13i

Answer

1 - 11i

Answer

1 + 11i

Answer

-1 + 11i

Answer

-1 - 13i

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