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Question

Mathematics Question on complex numbers

The complex number 1+2i1i\frac {1+2i}{1-i} lies in

A

first quadrant

B

second quadrant

C

third quadrant

D

fourth quadrant

Answer

second quadrant

Explanation

Solution

1+2i1i×1+i1+i=1+3i2\frac{1+2 i}{1-i} \times \frac{1+i}{1+i}=\frac{-1+3 i}{2}