Question bank/JEE Main/Mathematics
JEE MainMathematics
The locus represented by the equation | z -1 | = |z - i|
is
Show answer and solution
Since, |z, -1| = | z - i|
⇒ Distance of z from (1, 0) and (0, 1) is equal therefore z lies on the
perpendicular bisector of the join of (1, 0) and (0, 1) which is a
straight line passing through the origin.
⇒ Distance of z from (1, 0) and (0, 1) is equal therefore z lies on the
perpendicular bisector of the join of (1, 0) and (0, 1) which is a
straight line passing through the origin.
Source: Grass-G / M-02 Mathematics Paper-2.docx
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