IIT JEE 1982 Maths - MCQ Question 9

Algebra Level 4

The region that satisfies the inequality ∣ z − 4 ∣ < ∣ z − 2 ∣ |z-4|<|z-2| is:

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Re(z)<0 Re(z)>0 None of the others Re(z)≥0

Shubhamkar Ayare by Shubhamkar Ayare , 22, India

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2 solutions

Shubhamkar Ayare
Dec 1, 2016

On solving, Re(z)>3; which is 'None of the others'.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Rohith M.Athreya
Jan 17, 2017

∣ z − 4 ∣ |z-4| is the distance of z from 4

clearly ∣ z − 2 ∣ |z-2| is more for everything to right of the perpendicular bisector

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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