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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Conjugate, Modulus and Argument of complex number

  • question_answer
    If  \[{{z}_{1}}\] and \[{{z}_{2}}\] are two complex numbers, then  \[|{{z}_{1}}-{{z}_{2}}|\] is [MP PET 1994]

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

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

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

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

    Correct Answer: A

    Solution :

    It is a fundamental property.


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