JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Integral power of iota, Algebraic operations and Equality of complex numbers

  • question_answer
    The complex number \[\frac{1+2i}{1-i}\] lies in which quadrant of the complex plane [MP PET 2001]

    A) First

    B) Second

    C) Third

    D) Fourth

    Correct Answer: B

    Solution :

      \[z=\frac{1+2i}{1-i}\]\[\Rightarrow \,z=\frac{1+2i}{1-i}\times \frac{1+i}{1+i}\]\[=\frac{-1}{2}+i\frac{3}{2}\] This complex number will lie in the II quadrant. Ans.

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