Mathematics · Complex Analysis

Fix a positive real number c. Consider the locus of all points z ∈ &complex; such that |(z - i)/(z + i)| = c. Which of the following statements is true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

If c > 1, the locus is a circle centered on the imaginary axis

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Fix a positive real number c. Consider the locus of all points z &isin; &complex; such that |(z - i)/(z + i)| = c. Which of the following statements is true?