KVPY Sample Paper KVPY Stream-SX Model Paper-22

  • question_answer
    The equation \[|\sin \,x|\,\,=\sin x+3\] has in\[[0,\,\,2\pi ]:\]

    A) no root

    B) only one root

    C) two roots

    D) more than two roots

    Correct Answer: A

    Solution :

    If \[\sin \,\,x>0\] \[\Rightarrow \] \[\sin \,x=\sin \,x+3\]\[\Rightarrow \] not possible     
    If \[\sin \,\,x<0\]\[\Rightarrow \] \[-\sin \,\,x<0\]\[\Rightarrow \] \[-\sin x=\sin x+3=1\]
    \[\sin x=-\,3/2\]  not possible

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