If the quadratic equation \( \alpha x^{2}+\beta x+a^{2}+b^{2}+c^{2}...
If the quadratic equation \( \alpha x^{2}+\beta x+a^{2}+b^{2}+c^{2}-a b-b c-c a=0 \) has imaginary roots, then
\( \mathrm{P} \)
(A) \( 2(\alpha-\beta)+(a-b)^{2}+(b-c)^{2}+(c-a)^{2}0 \)
(B) \( 2(\alpha-\beta)+(a-b)^{2}+(b-c)^{2}+(c-a)^{2}0 \)
(C) \( 2(\alpha-\beta)+(a-b)^{2}+(b-c)^{2}+(c-a)^{2}=0 \)
(D) none of these.
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