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

  • question_answer
    In a triangle ABC, \[a=5,b=7\] and \[\sin A=\frac{3}{4}\] how many such triangles are possible [Roorkee 1990]

    A) 1

    B) 0

    C) 2

    D) Infinite

    Correct Answer: B

    Solution :

     \[\frac{\sin A}{a}=\frac{\sin B}{b}\Rightarrow \frac{3}{4\times 5}=\frac{\sin B}{7}\Rightarrow \sin B=\frac{21}{20}\], which is not possible.


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