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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

1 Answer

$\large\frac{1+2i}{1-i}=\frac{(1+2i)(1+i)}{2}$ (Rationalising the denominator)
$=\large-\frac{1}{2}+\frac{3}{2}$$i$
$=(\large-\frac{1}{2},\frac{3}{2})$
which is in 2nd quadrant.
answered Jul 28, 2013 by rvidyagovindarajan_1
 

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