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Question
State true or false for the following:
The points representing the complex number z for which |z + 1| < |z − 1| lies in the interior of a circle.
Options
True
False
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Solution
This statement is False.
Explanation:
Because |x + iy + 1| < |x + iy − 1|
⇒ (x + 1)2 + y2 < (x – 1)2 + y2 which gives 4x < 0.
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