Complex Numbers And Quadratic Equations question 55
Question: The inequality $ |z-4|<|z-2| $ represents the region given by [IIT 1982; RPET 1995; AIEEE 2002]
Options:
A) $ Re(z)>0 $
B) $ Re(z)<0 $
C) $ Re(z)>2 $
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
Given inequality $ |z-4|<|z-2| $
$ \Rightarrow $ $ |z-4{{|}^{2}}<|z-2{{|}^{2}}\Rightarrow {{(x-4)}^{2}}+y^{2}<{{(x-2)}^{2}}+y^{2} $
Þ $ 4x>12\Rightarrow Re(z)>3 $ .
BETA
