Complex Numbers And Quadratic Equations question 446
Question: The complex number $ \frac{1+2i}{1-i} $ lies in which quadrant of the complex plane [MP PET 2001]
Options:
A) First
B) Second
C) Third
D) Fourth
Show Answer
Answer:
Correct Answer: B
Solution:
$ z=\frac{1+2i}{1-i} $
$ \Rightarrow z=\frac{1+2i}{1-i}\times \frac{1+i}{1+i} $ $ =\frac{-1}{2}+i\frac{3}{2} $ This complex number will lie in the II quadrant. Ans.
BETA
