If $z=x+i y$ is such that $|z-4|<|z-2|$, then

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

z=x+i y

is such that

|z-4|<|z-2|

, then

View answer and explanation

Correct option: D

x>3

and

y

is any real number

Option D (

x>3

and

y

is any real number) is correct because simplifying the inequality

|z-4|<|z-2|

leads to the condition

x>3

, with no restrictions on

y

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