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The complex number $\large\frac{1+2i}{1-i}$ lies in which quadrant?

(A) I quadrant

(B) II quadrant

(C) III quadrant

(D) IV quadrant

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1 Answer

$\large\frac{1+2i}{1-i}=\frac{1+2i}{1-i}\times\frac{1+i}{1+i}$
$=\large\frac{1-2+3i}{2}=\frac{-1+3i}{2}$
which lies in 2nd quadrant.
answered Jul 16, 2013 by rvidyagovindarajan_1
 

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