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Complex Numbers — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsComplex Numbers2 Marks
MCQ
The complex number $\frac{1+2 i}{1-i}$ lies in which quadrant of the complex plane?
  • A
    First
  • ✓
    Second
  • C
    Third
  • D
    Fourth
✓

Answer

Correct option: B.
Second
(B)
$z=\frac{1+2 i}{1-i} \Rightarrow z=\frac{1+2 i}{1-i} \times \frac{1+i}{1+i}=\frac{-1}{2}+i \frac{3}{2}$
This complex number will lie in the II quadrant.

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