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Mathematics
The equation |z-i| = |z-1|, i = √ -1 , represents:
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Q. The equation $|z-i| = |z-1|, i = \sqrt{ -1}$ , represents:
JEE Main
JEE Main 2019
Complex Numbers and Quadratic Equations
A
the line through the origin with slope -1.
31%
B
a circle of radius 1.
27%
C
a circle of radius $\frac{1}{2}$
12%
D
the line through the origin with slope -1
31%
Solution:
$|z - i| = |z - 1|$
$y = x$