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4.1 complex nubers — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS4.1 complex nubers1 Mark
MCQ
The complex number $\frac{{1 + 2i}}{{1 - i}}$ lies in which quadrant of the complex plane
  • A
    First
  • ✓
    Second
  • C
    Third
  • D
    Fourth
✓

Answer

Correct option: B.
Second
b
(b) $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.

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