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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
If the angles A,BA, B and CC of triangle ABCA B C are in arithmetic progression and a,b,ca, b, c represents length of sides opposite to angles A,BA, B and CC respectively, then the value of a+c(a2−ac+c2)\frac{a+c}{\sqrt{\left(a^2-a c+c^2\right)}} is:
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Correct option: D
2cos⁡A−C22 \cos \frac{A-C}{2}
Option D is correct because using the given conditions and trigonometric identities, the expression simplifies to 2cos⁡A−C22 \cos \frac{{A-C}}{{2}}.

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