RAJASTHAN ­ PET Rajasthan PET Solved Paper-2002

  • question_answer
    If\[{{z}_{1}},{{z}_{2}}\]are any two complex numbers, then

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

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

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

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

    Correct Answer: C

    Solution :

     If\[{{z}_{1}}\]and\[{{z}_{2}}\]are complex numbers, then \[|{{z}_{1}}+{{z}_{2}}|\le |{{z}_{1}}|+|{{z}_{2}}|\] (triangular inequality)c


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