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JEE Main & Advanced Sample Paper JEE Main Sample Paper-18

  • question_answer
    If the complex number\[z\]lies on a circle with centre at the origin and radius\[\frac{1}{3},\]then the complex number \[-1+6z\] lies on a circle with radius

    A)  4                                            

    B)  1

    C)  2                                            

    D)  3/2

    Correct Answer: C

    Solution :

     Given \[|z|\,=\,\frac{1}{3}\] Let \[w=-1+6\,z\] \[\Rightarrow \] \[z=\frac{w+1}{6}\] \[\Rightarrow \] \[|z|\,=\frac{|w+1|}{6}\] \[\Rightarrow \] \[\frac{1}{3}=\frac{|w+1|}{6}\] \[\Rightarrow \] \[|w+1|\,=2\] \[\Rightarrow \] \[w\] lies on a circle with centre \[-1\] and radius 2.


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