Complex Numbers And Quadratic Equations question 50
Question: If the conjugate of $ (x+iy)(1-2i) $ be $ 1+i $ , then [MP PET 1996]
Options:
A) $ x=\frac{1}{5} $
B) $ y=\frac{3}{5} $
C) $ x+iy=\frac{1-i}{1-2i} $
D) $ x-iy=\frac{1-i}{1+2i} $
Show Answer
Answer:
Correct Answer: C
Solution:
Given that $ \overline{(x+iy)(1-2i)}=1+i $
Þ $ x-iy=\frac{1+i}{1+2i}\Rightarrow x+iy=\frac{1-i}{1-2i} $ .
BETA
