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If a+b+c=0 and a^2+b^2+c^2=1, then (a...

If `a+b+c=0` and `a^2+b^2+c^2=1,` then (a) `a b+b c+c a=1/2` (b) `a b+b c+c a=1/2` (c)`a^4+b^2+c^4=1/2` (d) `a^4+b^4+c^4=3/2`

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