BCECE Engineering BCECE Engineering Solved Paper-2008

  • question_answer
    If \[b+c=3a,\]then \[\cot \frac{B}{2}\cot \frac{C}{2}\]is equal to

    A)  3                            

    B)         1                            

    C)  4                            

    D)         2      

    Correct Answer: D

    Solution :

    \[\cot \frac{B}{2}.\cot \frac{C}{2}\] \[=\sqrt{\frac{s(s-b)}{(s-c)(s-a)}}\times \sqrt{\frac{s(s-c)}{(s-a)(s-b)}}\] \[=\frac{s}{s-a}=\frac{2a}{2a-a}=2\]\[(\because \,b+c=3a)\]


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