A) 1
B) 2
C) \[\sqrt{3}\]
D) \[\sqrt{2}\]
Correct Answer: B
Solution :
\[\cot \frac{B}{2}.\cot \frac{C}{2}=\sqrt{\frac{s(s-b)}{(s-a)\,(s-c)}.\frac{s(s-c)}{(s-a)\,(s-b)}}\] =\[\frac{s}{s-a}\] , {Since \[3a=b+c\] or \[a+b+c=2s=4a\}\] = \[2a/a=2\].
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