Mathematics · Complex Numbers

If w is a non-real complex cube root of unity, then the equation |z - w|2 + |z - w2|2 = λ represents a circle if:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1λ ∈ [1, ∞)
2λ ∈ (0, 3)
3λ ∈ [32, ∞)✓
4λ ∈ (0, 32)

Correct answer

λ ∈ [32, ∞)

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If w is a non-real complex cube root of unity, then the equation |z - w|2 + |z - w2|2 = λ represents a circle if:

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If w is a non-real complex cube root of unity, then the equation |z - w|2 + |z - w2|2 = λ represents a circle if:

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