JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Critical Thinking

  • question_answer
    In \[\Delta ABC,\ \frac{1}{a}{{\cos }^{2}}\frac{A}{2}+\frac{1}{b}{{\cos }^{2}}\frac{B}{2}+\frac{1}{c}{{\cos }^{2}}\frac{C}{2}=\]

    A) \[s\]

    B) \[\frac{s}{abc}\]

    C) \[\frac{{{s}^{2}}}{abc}\]

    D) \[\frac{{{s}^{3}}}{abc}\]

    Correct Answer: C

    Solution :

    \[\frac{1}{a}{{\cos }^{2}}\frac{A}{2}+\frac{1}{b}{{\cos }^{2}}\frac{B}{2}+\frac{1}{c}{{\cos }^{2}}\frac{C}{2}\] = \[\sum \frac{s(s-a)}{abc}=\frac{s(s-a+s-b+s-c)}{abc}=\frac{{{s}^{2}}}{abc}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner