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[" 11.Let "ABC" be a triangle such that "/_ACB=(pi)/(6)" and let "a,b" and "c" denote the lengths of the sides opposite "],[" to "A,B" and "C" respectively.The value(s) of "x" for which "a=x^(2)+x+1,b=x^(2)-1" and "c=2x+1" is (are) "],[[" (A) "-(2+sqrt(3))," (B) "1+sqrt(3)," (C) "2+sqrt(3)," (D) "4sqrt(3)" (JEE "10,3" M) "]]

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