If a, b, c, x, y, z are real numbers such that (a + b + c)^2 - 3(ab + bc + ca) + 3(x^2 + y^2 + z^2) = 0, then which one of the following is correct ? - CDS Elementary Mathematics 2023 (II)

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If a, b, c, x, y, z are real numbers such that (a + b + c)^2 – 3(ab + bc + ca) + 3(x^2 + y^2 + z^2) = 0, then which one of the following is correct ?