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If f(x)=a x^2+b x+a^2+b^2+c^2-a b-b c-c ...

If `f(x)=a x^2+b x+a^2+b^2+c^2-a b-b c-c a ,w h e r ea ,b ,c` are distinct reals, has imaginary roots then (a) `2(a-b)+(a-b)^2+(b-c)^2+(c-a)^2>0` (b) `f(0)>0` (c) `f(-1)>0` (d)`f(0)<0`

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