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

  • question_answer
    If the area of the triangle formed by the points \[z,z+iz\] and iz on the complex plane is 18, then the value of \[|z|\] is [MP PET 2001]

    A) 6

    B) 9

    C) \[3\sqrt{2}\]

    D) \[2\sqrt{3}\]

    Correct Answer: A

    Solution :

    Area of the triangle\[\frac{1}{2}|z{{|}^{2}}=18\]\[\Rightarrow \,|z|\,=6\].


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