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if a,b,c are real then find the intervia...

if a,b,c are real then find the intervial in which `f(x)=|{:(x+a^2,ab,ac),(ab,x+b^2,bc),(ac,bc,x+c^2):}|` is decreasing.

A

`(-(2//3) (a^(2) + b^(2) + c^(2)), 0)`

B

`(0, (2//3) (a^(2) + b^(2) + c^(2)))`

C

`((1//3) (a^(2) + b^(2) + c^(2)), 0)`

D

none of these

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The correct Answer is:
A
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