If a, b, c are real and a^2+b^2+c^2=1, then a b+b c+c a lies in the interval: (A) [1/2, 2] (B) [0...

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If a, b, c are real and a^2+b^2+c^2=1, then a b+b c+c a lies in the interval:
(A) [1/2, 2]
(B) [0,2]
(C) [-1/2, 1]
(D) [-1, 1/2]

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