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Let ABC be a triangle such that angle AB...

Let ABC be a triangle such that `angle ABC =pi/6.` If a, b and c denote the lengths of the sides opposite to A,B and C, respectively. Then, the value (s) of x for which `a=x^(2) +x+1, b=x^(2)-1 and x=2x +1` is (are)

A

`-(2+ sqrt3)`

B

`1+sqrt3`

C

`2+sqrt3`

D

`4 sqrt3`.

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