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Complex Numbers and Quadratic Equations
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
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
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asked
Jul 16, 2013
by
rvidyagovindarajan_1
edited
Mar 31, 2016
by
balaji.thirumalai
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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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