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Locus of points that satisfy the equation of a line

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In the following problems determine the set of Z satisfying the given equations

1. |Z|=|Z-i|

2. |Z|^2 + Im(z)= 16

3. |Z-i|+|Z| = 9

Where:

Z = x+yi

__
Z = x-yi.

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Solution Summary

Locus of points that satisfy the equation of a line, circle, hyperbola, parabola or ellipse are investigated.

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