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Let ABC be a triangle such that angleACB...

Let ABC be a triangle such that `angleACB=pi/6` and let a , b and c denote the lengths of the side opposite to A ,B and C respectively. The value of x for which `a=x^(2)+x+1,b=x^(2)-1` and `c=2x+1` is

A

`-(2+sqrt3)`

B

`sqrt 3+1`

C

`2 + sqrt3`

D

`4 sqrt 3`

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