Complex number frac{{1 + 2i}}{{1 - i}} lies in which quadrant of complex plane

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4-1.Complex numbers

easy

The complex number $\frac{{1 + 2i}}{{1 - i}}$ lies in which quadrant of the complex plane

First

Second

Third

Fourth

Solution

(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.

Standard 11

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