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0 votes
3.0k views
in Complex Numbers by (48.7k points)
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The locus represented by |z – 1| = |z – i| is a line perpendicular to the join of (1, 0) and (0, 1). 

1 Answer

+1 vote
by (49.4k points)
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Best answer

True

Equation of a straight line passing through (1, 0) and (0, 1) is

y = x

Now, the lines y = -x + 1 and y = x are perpendicular to each other, so the given statement is true.

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