Which of the following equations can represent a triangle:
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a
|z−1|=|z−2|
b
|z−1|=|z−2|=|z−i|
c
|z−1|−|z−2|=2a
d
|z−1|2+|z−2|2=4
answer is B.
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Detailed Solution
|z−1|=|z−2|=|z−i| (i) |z−1|=|z−i|Represents a straight line through origin i.e., y=x(ii) |z−1|=|z−2|⇒x=32which is a straight line(iii) |z−2|=|z−i|⇒4x−2y=3which is a straight line