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

  • question_answer
    If \[{{z}_{1}}\] and \[{{z}_{2}}\] are two complex numbers, then \[|{{z}_{1}}+{{z}_{2}}|\] is                     [RPET 1985; MP PET 1987, 2004;  Kerala (Engg.) 2002]

    A) \[\le \,|{{z}_{1}}|+|{{z}_{2}}|\]

    B) \[\le \,|{{z}_{1}}|-|{{z}_{2}}|\]

    C) \[<\,|{{z}_{1}}|+|{{z}_{2}}|\]

    D) \[>\,|{{z}_{1}}|+|{{z}_{2}}|\]

    Correct Answer: A

    Solution :

    \[|{{z}_{1}}+{{z}_{2}}|\,\le \,|{{z}_{1}}|+|{{z}_{2}}|\]


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