A) A. P.
B) G. P.
C) H. P.
D) None of these
Correct Answer: D
Solution :
\[\tan \frac{A}{2}\tan \frac{C}{2}=\frac{1}{2}\] Þ \[\sqrt{\frac{(s-b)(s-c)}{s(s-a)}\frac{(s-a)(s-b)}{s(s-c)}}=\frac{1}{2}\] Þ \[\frac{s-b}{s}=\frac{1}{2}\Rightarrow 2s-2b-s=0\]Þ \[a+c-3b=0\].
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