RAJASTHAN ­ PET Rajasthan PET Solved Paper-2003

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

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

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

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

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

    Correct Answer: D

    Solution :

     \[|{{z}_{1}}-{{z}_{2}}|\le |{{z}_{1}}|+|{{z}_{2}}|\]is correct.


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