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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
In a Δ  ABC\Delta \;ABC, if 2s=a+b+c2s = a + b + c, then the value of the s(s−a)bc−(s−b)(s−c)bc\frac{{s\left( {s - a} \right)}}{{bc}} - \frac{{\left( {s - b} \right)\left( {s - c} \right)}}{{bc}} is equal to
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Correct option: B
cos⁡A\cos A
Option B (cos A) is correct because the given expression simplifies to cos²(A/2) - sin²(A/2), which is equal to cos A using trigonometric identities.

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