JEE Main & Advanced AIEEE Solved Paper-2004

  • question_answer
    If\[|{{z}^{2}}-1|=|z{{|}^{2}}+1,\]then z lies on

    A) the real axis

    B) the imaginary axis

    C) a circle

    D) an ellipse

    Correct Answer: B

    Solution :

    If complex number is the form of then Given that It shows that the origin. -1 andlies on a line and and - 1 lies on one side of the origin, thereforeis a negative number. Hence, z will be purely imaginary. So, we can say that z lies on y-axis. Alternate Solution We know that, if                                                             z lies on y-axis (imaginary axis).

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