Question

If $|z + 1| < |z - 1|$ , then $z$ lies

• A. On the $x$-axis
• B. on the $y$-axis
• C. In the region $x < 0$
• D. In the region $y > 0$

Answer 1

Answer: (C)

In the region $x < 0$

Answer 2

Given that,
$|z+1|