11th Class Mathematics Complex Numbers and Quadratic Equations Question Bank Critical Thinking

  • question_answer Let \[z\] and \[w\] be the two non-zero complex numbers such that \[|z|\,=\,|w|\] and \[arg\,z+arg\,w=\pi \]. Then \[z\] is equal to [IIT 1995; AIEEE 2002]

    A) \[w\]

    B) \[-w\]

    C) \[\overline{w}\]

    D) \[-\overline{w}\]

    Correct Answer: D

    Solution :

    Trick: On checking the options, (d) satisfies both the conditions.

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