If a^2+b^2+c^2+ab+bc+ca<=0 AA a, b, c in...

If `a^2+b^2+c^2+ab+bc+ca<=0 AA a, b, c in R` then find the value of the determinant `|[(a+b+2)^2, a^2+b^2, 1] , [1, (b+c+2)^2, b^2+c^2] , [c^2+a^2, 1, (c+a+2)^2]|` : (A) `abc(a^2 + b^2 +c^2)` (B) 0 (C) `a^3+b^3+c^3 + 3abc` (D) 65

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