If p, q, r are the cube roots of unity, then what is vmatrix p^2+q^2&r^2&r^2 ^2&q^2+r^2&p^2 ^2&q^2&r^2+p^2 vmatrix equal to?

NDA 2026 Mathematics question

If are the cube roots of unity, then what is equal to?

Answer: (D)

Write , , . Apply : the first row becomes . Expanding along it: $Δ =

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Question ID VK-030267