JEE Main & Advanced Mathematics Trigonometric Equations Question Bank Relation between sides and angles, Solutions of triangles

  • question_answer
    If \[a=2,b=3,c=5\]in \[\Delta ABC\], then C =  [EAMCET 1984]

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

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

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

    D) None of these

    Correct Answer: D

    Solution :

    \[\cos C=\frac{{{a}^{2}}+{{b}^{2}}-{{c}^{2}}}{2ab}=-1\] Þ \[\angle C={{180}^{o}}\], which is inadmissible in a triangle.


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