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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
In Δ  ABC,  (a−b)2cos⁡2C2+(a+b)2sin⁡2C2\Delta \;ABC,\;{\left( {a - b} \right)^2}{\cos ^2}\frac{C}{2} + {\left( {a + b} \right)^2}{\sin ^2}\frac{C}{2} is equal to
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Correct option: C
c2{c^2}
Option C (c2{c^2}) is correct because the expression simplifies to c2c^2 using trigonometric identities and the cosine rule.

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