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JEE Main & Advanced Sample Paper JEE Main Sample Paper-34

  • question_answer
    The number of solutions of equation\[\left| \begin{matrix}    1 & 1 & 1  \\    1 & 1+\sin \theta  & 1  \\    1 & 1 & 1+\cot \theta   \\ \end{matrix} \right|=0\] in \[\theta \in [0,2\pi ]\] is equal to

    A)  2                                            

    B)  3

    C)  4                                            

    D)  5

    Correct Answer: A

    Solution :

    \[\sin \,\theta .\cot \,\theta =0\Rightarrow \theta =\frac{\pi }{2},\frac{3\pi }{2}\]


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