RAJASTHAN ­ PET Rajasthan PET Solved Paper-2003

  • question_answer
    For any complex number z, minimum value of\[|z|+|z-1|\]is equal to

    A)  1              

    B)  0

    C)  1/2             

    D)  3/2

    Correct Answer: A

    Solution :

     Since, \[|z|+|z-1|\ge |z-(z-1)|\] \[\Rightarrow \]\[|z|+|z-1|\ge 1\] \[\therefore \]Minimum value of\[|z|+|z-1|\]is 1.


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