If x+ay+a^2z=1, x+by+b^2z=1, x+cy+c^2z=1 where a b c, then what is x+y+z equal to?

NDA 2026 Mathematics question

If , , where , then what is equal to?

Answer: (B)

Consider the polynomial . The three equations say . A polynomial of degree at most 2 with three distinct roots must be identically zero,

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Question ID VK-030410