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

  • question_answer
    If  \[{{z}_{1}},{{z}_{2}}\in C,\] then [MP PET 1995]

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

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

    C) \[|{{z}_{1}}-{{z}_{2}}|\,\le \left| \,|{{z}_{1}}|-|{{z}_{2}}|\, \right|\]

    D) \[|{{z}_{1}}+{{z}_{2}}|\,\ge \left| \,|{{z}_{1}}|-|{{z}_{2}}|\, \right|\]

    Correct Answer: D

    Solution :

    It is a fundamental concept.


You need to login to perform this action.
You will be redirected in 3 sec spinner