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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Application +4 | -1
If in a Δ  ABC,  acos⁡2(C2)+ccos⁡2(A2)=3b2\Delta \;ABC,\;a{\cos ^2}\left( {\frac{C}{2}} \right) + c{\cos ^2}\left( {\frac{A}{2}} \right) = \frac{{3b}}{2}, then the sides a,  ba,\;b and cc
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Correct option: A
Are in AP
Option A (Are in AP) is correct because the given condition simplifies to 2b=a+c2b = a + c, which is the condition for a, b, and c to be in arithmetic progression.

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