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JEE Main & Advanced Sample Paper JEE Main Sample Paper-17

  • question_answer
    If the complex number z satisfies the condition \[|z|\ge 3,\]then the least value of \[\left| z+\frac{1}{z} \right|\]is equal to

    A)  \[5/3\]                

    B) \[8/3\]

    C) \[11/3\]                               

    D) \[{{2}^{101}}\]

    Correct Answer: B

    Solution :

     \[\left| z+\frac{1}{z} \right|\ge |z|-\frac{1}{|z|}\] \[{{\left| z+\frac{1}{z} \right|}_{\text{least}}}\ge 3-\frac{1}{3}\ge \frac{8}{3}\]


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