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

  • question_answer
    If \[A={{30}^{o}},a=7,b=8\]in \[\Delta ABC\], then B has

    A) One solution

    B) Two solutions

    C) No solution

    D) None of these

    Correct Answer: B

    Solution :

    Here b \[\sin A=8\]\[\sin {{30}^{o}}=4,a=7\] Thus, we have \[b>a>b\sin A\]. Hence angle B has two solutions.


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