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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Mock Test - Complex Numbers and Quadratic Equations

  • question_answer
    If \[\left| z \right|\]=1, then the point representing the complex number -1+3z will lie on

    A) a circle

    B) a straight line

    C) a parabola       

    D) a hyperbola

    Correct Answer: A

    Solution :

    [a] \[\left| z \right|=1,\,\,let\text{ }\alpha =-1+3z\] \[\Rightarrow a+1=3z\] \[\Rightarrow \left| a+1 \right|=3\left| z \right|=3\] Hence, a lies on a circle centered at -1 and radius equal to 3.


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