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Plot the complex number in the complex plane.

Question : Plot the complex number in the complex plane. : 2162245

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Plot the complex number in the complex plane.

1) -2 - 4i

A)

B)

C)

D)

2) -3i

A)

B)

C)

D)

3) -6 + i

A)

B)

C)

D)

4) 5 - i

A)

B)

C)

D)

5) -9 + 2Ö2i

A)

B)

C)

D)

Write the complex number in rectangular form.

6) 8(cosp/6 + isinp/6)

A) 4Ö3 + 4i 

B) 4 + 4Ö3i

C) 1/4 + Ö3/4I  

D) Ö3/4 + 1/4i

7) 3(cosp/3 + isinp/3)

A) Ö3/6 + Ö3/6 i

B) Ö3 + i

C) Ö3/2 + 3Ö3/2 i  

D) 3/2 + 3Ö3/2 i

8) 4(cos11p/6 + isin11p/6)

A) 2 + 2Ö3i

B) 2Ö3 - 2i

C) -2Ö3 - 2i

D) 2 - 2Ö3i

9) 4(cos300° + isin300°)

A) 2 - 2Ö3i

B) -2 + 2Ö3i

C) -2Ö3 - 2i

D) 2Ö3 - 2i

10) 6(cos330° + isin330°)

A) -3Ö3 + 3i

B) 3Ö3 - 3i

C) 3Ö3 + 3i

D) -3Ö3 - 3i

11) 9(cos180° + isin180°)

A) -9i

B) -9

C) 9

D) 9i

Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary.

12) Ö3 - i

A) 2(cos330° + isin330°)

B) 4(cos300° + isin300°)

C) 4(cos330° + isin330°)

D) 2(cos300° + isin300°)

13) -4 + 4i

A) 16(cos135° + isin135°)

B) 4Ö2(cos135° + isin135°)

C) 16(cos120° + isin120°)

D) 4Ö2(cos120° + isin120°)

14) -4

A) 4(cos180° + isin180°)

B) 4(cos270° + isin270°)

C) 4(cos0° + isin0°)

D) 4(cos90° + isin90°)

15) -2i

A) 2(cos0° + isin0°)

B) 2(cos180° + isin180°)

C) 2(cos270° + isin270°)

D) 2(cos90° + isin90°)

16) 12 - 16i

A) 20(cos53.1° + isin53.1°)

B) 20(cos306.9° + isin306.9°)

C) 20(cos233.1° + isin233.1°)

D) 20(cos126.9° + isin126.9°)

Find zw or z/w as specified. Leave your answer in polar form.

17) z = 10(cos30° + isin30°)

w = 5(cos10° + i sin10°)

Find zw.

A) 15(cos40° + isin40°)

B) 15(cos300° + isin300°)

C) 50(cos40° + isin40°)

D) 50(cos300° + isin300°)

18) z = 10(cos45° + isin45°)

w = 5(cos15° + isin15°)

Find zw.

A) 50(cos60° + isin60°)

B) 50(cos30° + isin30°)

C) 5(cos60° + isin60°)

D) 5(cos30° + isin30°)

19) z = 5(cos35° + isin35°)

w = 2(cos40° + isin40°)

Find zw.

A) 10(cos75° + isin75°)

B) 10(cos50.9° + isin50.9°)

C) 7(cos50.9° + isin50.9°)

D) 7(cos75° + isin75°)

20) z = 8(cosp/6 + isinp/6)

w = 3(cosp/2 + isinp/2)

Find zw.

A) 12(cos2p/3 + isin2p/3)

B) 24(cos2p/3 + isin2p/3)

C) 24(cosp/3 + isinp/3)

D) 12(cosp/3 + isinp/3)

21) z = 6(cos3p/2 + isin3p/2)

w = 12(cos5p/6 + isin5p/6)

Find zw.

A) 36(cosp/3+ isinp/3)

B) 72(cosp/6 + isinp/6)

C) 36(cosp/6 + isinp/6)

D) 72(cosp/3 + isinp/3)

22) z = 2 + 2i

w = Ö3 - i  

Find zw.

A) 4Ö2(cos23p/12 + isin23p/12)

B) 4(cos23p/12 + isin23p/12)

C) 4(cosp/12 + isinp/12)

D) 4Ö2(cosp/12 + isinp/12)

23) z = 10(cos30° + isin30°)

w = 5(cos10° + isin10°)

Find z/w.

A) 2(cos20° + isin20°)

B) 5(cos20° + isin20°)

C) 2(cos3° + isin3°)

D) 5(cos3° + isin3°)

24) z = 10(cos45° + isin45°)

w = 5(cos15° + isin15°)

Find z/w.

A) 1/2(cos45° + isin45°)

B) 2(cos30° + isin30°)

C) 1/2(cos30° + isin30°)

D) 2(cos45° + isin45°)

25) z = 5(cos200° + isin200°)

w = 4(cos50° + isin50°)

Find z/w.

A) 4/5(cos150° + isin150°)

B) 4/5(cos40° + isin40°)

C) 5/4(cos40° + isin40°)

D) 5/4(cos150° + isin150°)

26) z = 8(cos(π/2) + i sin(π/2))

w = 3(cos(π/6) + isin(π/6))

Find (z/w).

A) (8/3)(cos(π/12) + isin(π/12))

B) (8/3)(cos(π/3) + isin(π/3))

C) 5(cos(π/3) + isin(π/3))

D) 5(cos(π/12) + isin(π/12))

27) z = √(3)(cos(7π/4) + isin(7π/4))

w = √(6)(cos(9π/4) + isin(9π/4))

Find (z/w).

A) (√(2)/2)(cos(π/2) + isin(π/2))

B) 3√(2)(cos(3π/2) + isin(3π/2))

C) 3√(2)(cos(π/2) + isin(π/2))

D) (√(2)/2)(cos(3π/2) + isin(3π/2))

28) z = 6(cos(3π/2) + isin(3π/2))

w = 12(cos(5π/6) + isin(5π/6))

Find (z/w).

A) (1/6)(cos(π/3) + isin(π/3))

B) (1/2)(cos(π/3) + isin(π/3))

C) (1/6)(cos(2π/3) + isin(2π/3))

D) (1/2)(cos(2π/3) + isin(2π/3))

29) z = 1 - i

w = 1 - √(3)i

Find (z/w).

A) (√(2)/2)(cos75° + isin75°)

B) (1/2)(cos75° + isin75°)

C) (1/2)(cos15° + isin15°)

D) (√(2)/2)(cos15° + isin15°)

30) z = 1 + i

w = √(3) - i

Find zw.

A) 2√(2)(cos75° + isin75°)

B) 2√(2)(cos345° + isin345°)

C) 2√(2)(cos15° + isin15°)

D) (√(2)/2)(cos15° + isin15°)

31) z = 1 + i

w = 1 - √(3)i

Find (z/w).

A) (√(2)/2)(cos15° + isin15°)

B) (1/2)(cos15° + isin15°)

C) (1/2)(cos105° + isin105°)

D) (√(2)/2)(cos105° + isin105°)

Solution
5 (1 Ratings )

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Mathematics 9 Months Ago 91 Views
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