JCECE Engineering JCECE Engineering Solved Paper-2011

  • question_answer
    If in a\[\Delta ABC\],\[\frac{2\cos A}{a}+\frac{\cos B}{b}+\frac{2\cos c}{c}=\frac{a}{bc}+\frac{b}{ca}\] then the value of the \[\angle A\] is

    A) \[\frac{\pi }{3}\]                                              

    B) \[\frac{\pi }{4}\]

    C) \[\frac{\pi }{2}\]                                              

    D) \[\frac{\pi }{6}\]

    Correct Answer: C

    Solution :

    We have,\[\frac{2\cos A}{a}+\frac{2\cos B}{b}+\frac{2\cos C}{C}=\frac{a}{bc}+\frac{b}{ac}\] \[\Rightarrow \]               \[2\left( \frac{{{b}^{2}}+{{c}^{2}}-{{a}^{2}}}{2abc} \right)+\frac{{{c}^{2}}+{{a}^{2}}-{{b}^{2}}}{2abc}\]                                                 \[+2\left( \frac{{{a}^{2}}+{{b}^{2}}-{{c}^{2}}}{2abc} \right)\]


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