Mathematics · Complex Numbers

If S = { z ∈ C : (z - i)/(z + i) ∈ R }, then which of the following is true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1S is a straight line in the complex plane✓
2S contains only one element
3S contains exactly two elements
4S is a circle in the complex plane

Correct answer

S is a straight line in the complex plane

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If S = { z ∈ C : (z - i)/(z + i) ∈ R }, then which of the following is true?

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If S = { z ∈ C : (z - i)/(z + i) ∈ R }, then which of the following is true?

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