RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    In a complex plane, the point z moves such that\[|z-3i|=2\]then its locus is

    A)  a straight line    

    B)  a circle

    C)  y-axis           

    D)  None of these

    Correct Answer: B

    Solution :

     \[|z-3i|=2\] \[\Rightarrow \] \[|x+iy-3i|=2\] \[\Rightarrow \] \[|x(y-3)i|=2\] \[\Rightarrow \] \[\sqrt{{{x}^{2}}+{{(y-3)}^{2}}}=2\] \[\Rightarrow \]\[{{x}^{2}}+{{(y-3)}^{2}}=4;\]which represents a circle.


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