Mathematics · Complex Numbers
If a, b, and c represent the vertices of an equilateral triangle in the complex plane, then which of the following identities holds true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1a2 + b2 + c2 = ab + bc - ca
- 2a2 + b2 + c2 = ab - bc - ca
- 3a2 + b2 + c2 = a / (b + c)
- 4a2 + b2 + c2 = ab + bc + ca✓
Correct answer
a2 + b2 + c2 = ab + bc + ca
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