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If the quadratic equation alpha x^2 +bet...

If the quadratic equation `alpha x^2 +beta x+a^2+b^2+c^2-ab-bc-ca=0` has imaginary roots then

A

`2(alpha-beta)+(a-b)^(2)+(b-c)^(2)+(c-a)^(2)gt0`

B

`2(alpha-beta)+(a-b)^(2)+(b-c)^(2)+(c-a)^(2)lt0`

C

`2(alpha-beta)+(a-b)^(2)+(b-c)^(2)+(c-a)^(2)=0`

D

none

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