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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In any Δ  ABC\Delta \;ABC, if cot⁡  A2  cot⁡  B2,  cot⁡C2\cot \,\,\frac{A}{2}\,\,\cot \,\,\frac{B}{2},\,\,\cot \frac{C}{2} are in A.P., then a,  b,  ca,\,\,b,\,\,c are in
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Correct option: A
A.P.\mathrm{A}.\mathrm{P}.
Option A is correct because the condition cot⁡A2 cot⁡B2, cot⁡C2\cot \frac{A}{2}\,\cot \frac{B}{2},\,\cot \frac{C}{2} are in A.P. implies that a,b,ca, b, c are in A.P.

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