5. Topic 5(COLON) Complex Numbers

Lesson 5.5: Loci And Regions In The Complex Plane — Quiz

Test your understanding of lesson 5.5: loci and regions in the complex plane with 5 practice questions.

Practice Questions

Question 1

What is the locus defined by the equation $|z - a| = r$, where $a$ is a complex number and $r$ is a positive real number?

Question 2

What does the locus $|z - a| = |z - b|$ represent in the complex plane?

Question 3

Given the inequality $|z - a| < r$, what geometric region does this describe?

Question 4

What is the locus given by the argument condition $\text{arg}(z - a) = \theta$?

Question 5

Which of the following represents the Cartesian equation of a complex locus when given by $|z| = r$?