If |z - 4| < |z - 2|, its solution is given by

JEE Main 2002 Mathematics question

If , its solution is given by

(1)Re(z) > 0
(2)Re(z) < 0
(3)Re (z) > 3Correct
(4)Re(z) > 2

Answer: (3)

Solution

means is closer to 4 than to 2. The perpendicular bisector of the segment joining 2 and 4 is the line , so the region is . Algebraically, with $z = x +

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Question ID VK-037994