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

  • question_answer
    If P, Q, R, S are represented by the complex numbers \[4+i,\,\,1+6i,\,\,-4+3i,\,\,-1-2i\] respectively, then PQRS is a [Orissa JEE 2003]

    A) Rectangle

    B) Square

    C) Rhombus

    D) Parallelogram

    Correct Answer: B

    Solution :

    \[|PQ|\,=\,|QR|\,=\,|RS|\,=\,|SP|\] and\[\angle \,PQR={{90}^{o}}\].


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