Question

The complex number $\frac{1+2i}{1-i}$ lies in the :

• A. 1 quadrant
• B. II quadrant
• C. III quadrant
• D. IV quadrant

Answer 1

The correct option is B II quadrant

$\to \frac{H2i}{1-i}\times \frac{1+i}{1+i}=\frac{1+i+2i-2}{1+1}$

$=\frac{-1}{2}+\frac{3i}{2}$

$\Rightarrow x<0,y>0$

$\Rightarrow I{I}^{nd}Quad\to \left(B\right)$