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

  • question_answer
    In a \[\Delta ABC\], if  \[{{c}^{2}}+{{a}^{2}}-{{b}^{2}}=ac\], then \[\angle B=\] [MP PET 1983, 89, 90]

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

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

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

    D) None of these

    Correct Answer: C

    Solution :

    \[\cos B=\frac{{{c}^{2}}+{{a}^{2}}-{{b}^{2}}}{2ac}\Rightarrow \cos B=\frac{1}{2}i.e.,B=\frac{\pi }{3}\].


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