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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Let ABCA B C be a triangle such that ∠ACB=π6\angle A C B=\frac{\pi}{6} and a,ba, b and cc denote the lengths of the sides opposite to A,BA, B and CC, respectively. The value(s) of xx for which a=x2+x+1,b=x2−1a=x^2+x+1, b=x^2-1 and c=2x+1c=2 x+1 is(are)
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Correct option: D
434 \sqrt{3}
The provided solution is incorrect. The correct answer should be 1+31+\sqrt{3}. By using the cosine rule and simplifying, we find that x=1+3x=1+\sqrt{3}.

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