Complex NumbersHard

Question

The inequality |z - 4| < |z - 2| represents the region given by

Options

A.Re (z) ≥ 0
B.Re (z) < 0
C.Re (z) > 0
D.None of these

Solution

        
Given, |z - 4| < |z - 2|
Since, |z - z1| > |z - z2| represents the region on right side of perpendicular bisector of z1 and z2
∴ |z - 2| > |z - 4|
⇒ Re(z) > 3 and Im (z) ∈ R
Hence, option (d) is correct.

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