AA HL Modulus-Argument

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1. Find the modulus of the complex number z=3-4i

1 point

-7

2.65

Clear selection

2. Select the correct answer

1 point

pi/6

pi/3

5pi/6

2pi/3

Clear selection

3. A complex number has a modulus of 13. Which of the following could the complex number be? Tick any correct answers.

1 point

z=-13i

z=5-12i

z=13

z=12+5i

z=-5+12i

4. A complex number has an argument of -3pi/4. Which of the following represents the complex number. Tick any correct answers.

1 point

z=1-i

z=-3-3i

z=1+i

z=-1-i

z=4-4i

5. A complex number has an argument of 4pi/3. Which of the following represents the complex number. Tick any correct answers.

1 point

6. A complex number has an argument of pi/6 and a modulus of 3. Which is the correct representation of the complex number?

1 point

Clear selection

7. A complex number has an argument of 3pi/4 and a modulus of square root of 2. Which is the correct representation of the complex number?

1 point

z=-2+2i

z=2-2i

z=-1+i

z=1-i

Clear selection

8. A complex number has an argument of -pi/2 and a modulus of 5. Which is the correct representation of the complex number?

1 point

z=5i

z=5

z=-3-4i

z=-5i

Clear selection

9. A complex number has an argument of pi and a modulus of 13. Which is the correct representation of the complex number?

1 point

z=5+12i

z=13

z=-13

z=13i

Clear selection

10. A complex number has an argument of 11pi/6 and a modulus of 4. Which is the correct representation of the complex number?

1 point

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