CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    A point P which represents a complex number z moves such that\[|z-{{z}_{1}}|=|z-{{z}_{2}}|,\]then its locus is:

    A)  a circle with centre\[{{z}_{1}}\]

    B)  a circle with centre\[{{z}_{2}}\]

    C)  a circle with centre\[z\]

    D)  an ellipse

    E)  perpendicular bisector of line joining\[{{z}_{1}}\] and\[{{z}_{2}}\]

    Correct Answer: E

    Solution :

    The locus of given equation is perpendicular bisector of line joining\[{{z}_{1}}\]and\[{{z}_{2}}\].


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