Complex Numbers 2 Question 20

20.

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

(1982, 2M)

(a) Re(z)≥0

(b) Re(z)<0

(c) Re(z)>0

(d) None of these

Show Answer

Answer:

Correct Answer: 20. (d)

Solution:

  1. 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

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