Let 1, , ^2 be three cube roots of unity. If x=a+b, y=a +b ^2, z=a ^2+b , then what is x^2+y^2+z^2 equal to?

NDA 2025 Mathematics question

Let be three cube roots of unity. If , , , then what is equal to?

Answer: (A)

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Question ID VK-030148