JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Geometry of complex numbers

  • question_answer
    If \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\] are three collinear points in argand plane, then \[\left| \,\begin{matrix}    {{z}_{1}} & \overline{{{z}_{1}}} & 1  \\    {{z}_{2}} & \overline{{{z}_{2}}} & 1  \\    {{z}_{3}} & \overline{{{z}_{3}}} & 1  \\ \end{matrix}\, \right|=\] [Orissa JEE 2004]

    A) 0

    B) - 1

    C) 1

    D) 2

    Correct Answer: A

    Solution :

    It is a fundamental concept.


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