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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In a triangle ABC\mathrm{ABC} if cot⁡A2cot⁡B2=c\cot ^{\frac{\mathrm{A}}{2}} \cot ^{\frac{\mathrm{B}}{2}}=\mathrm{c}, cot⁡B2cot⁡C2=a\cot ^{\frac{\mathrm{B}}{2}} \cot ^{\frac{\mathrm{C}}{2}}=\mathrm{a} and cot⁡C2cot⁡A2=b\cot \frac{C}{2} \cot ^{\frac{A}{2}}=b, then 1s−a+1s−b+1s−c=\frac{1}{s-a}+\frac{1}{s-b}+\frac{1}{s-c}=
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Correct option: D
2
Option D (2) is correct because the given cotangent relationships lead to the simplification of the expression to 2.

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