In other words, the distance of z from (-1,0) is less than (1,0) |x+iy+1| < |x+iy-1| which gives 4x < 0. I have two questions 1) What is the y co-ordinate? 2) What does the interior of a circle mean? What is the co-ordinate / equation of this circle?
2026-04-02 20:11:32.1775160692
The points representing the complex number z for which |z + 1| < |z − 1| lies in the interior of a circle. State "TRUE" or "FALSE".
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Not true.
They represent a halplane determined with imaginary axis which contains $-1$, so the left side of imaginary axis.