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Let a, b, c be three distinct real numbe...

Let a, b, c be three distinct real numbers such that each of the expressions `ax^+bx +c`, `bx^2 + cx + a` and `ax^2 + bx + c` are positive for all `x in R` and let `alpha=(bc +ca+ab)/(a^2+b^2+c^2)` then (A)`alpha<4` (B) `alpha<1` (C) `alpha>1/4` (D) `alpha>1`

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