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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Express the complex number 1 + i in polar form.
💡 Hint: Use the modulus and argument definitions.
Question 2
Easy
What is the modulus of the complex number z = 3 - 4i?
💡 Hint: Remember to square both parts of the complex number.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the polar form of a complex number?
- z = re^{iθ}
- z = x + iy
- z = r(cos θ + i sin θ)
💡 Hint: Recall how the polar form is defined.
Question 2
The modulus of the complex number z = 3 + 4i is:
- True
- False
💡 Hint: Can you find the distance from the origin?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a complex number z = 1 + √3i, find its polar form and compute z^6.
💡 Hint: Determine modulus and angle carefully, then raise to the sixth power.
Question 2
Determine the fourth roots of z = -16 using polar form.
💡 Hint: Consider how to find both the modulus and the argument.
Challenge and get performance evaluation