Complex Numbers and De Moivre's Theorem Quiz

Complex Numbers and De Moivre's Theorem Quiz

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Nancy Jackson

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of De Moivre's Theorem?

Adding complex numbers

Raising complex numbers to a power

Subtracting complex numbers

Multiplying complex numbers

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In polar form, what does the number in front of the angle represent?

Modulus

Imaginary part

Argument

Real part

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When multiplying two complex numbers in polar form, what operation is performed on the angles?

Subtract them

Multiply them

Add them

Divide them

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing the moduli of two complex numbers in polar form?

The sum of the moduli

The product of the moduli

The quotient of the moduli

The difference of the moduli

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the quotient formula, what operation is performed on the arguments of the complex numbers?

Add them

Multiply them

Subtract them

Divide them

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does De Moivre's Theorem allow you to do with a complex number?

Find its conjugate

Convert it to rectangular form

Raise it to a power

Find its inverse

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using De Moivre's Theorem, how is the argument of the complex number affected?

It remains unchanged

It is divided by the power

It is multiplied by the power

It is squared

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