CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    If z lies on \[|z|=1,\]then 2/z lies on:

    A)  a circle                                

    B)  a ellipse

    C)  a straight line   

    D)  a parabola

    Correct Answer: A

    Solution :

    Let \[\omega =2/z\]then, \[|\omega |=\left| \frac{2}{z} \right|=\frac{2}{|z|}\]\[=\frac{2}{1}=2\] This shows that \[\omega \]lies on a circle with centre at the origin and radius 2 units.


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