JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Geometry of complex numbers

  • question_answer
    If \[|z|=2\], then the points representing the complex numbers \[-1+5z\] will lie on a

    A) Circle

    B) Straight line

    C) Parabola

    D) None of these

    Correct Answer: A

    Solution :

    Let \[\omega =-1+5z\], then \[\omega +1=5z\] \[\Rightarrow \,|\omega +1|=5|z|=5\times 2=10\] (\[\because \,\,\,|z|=2,\]given value) Thus \[\omega \] lies on a circle.


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