Maximum & Minimum Distances

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Exercises for students
Solve the following problems on paper and check your working using the above applet:

The complex number z lies on the locus | z - (3 + i) | = 1. Find
(i) the maximum value of | z - 1 |.
(ii) the minimum value of | z - 1 |.
(iii) the maximum value of arg (z - 1).
(iv) the minimum value of arg (z - 1).

The complex number z lies on the locus | z - 3 | = 2. Find
(i) the maximum value of | z + i |.
(ii) the minimum value of | z + i |.
(iii) the maximum value of arg (z + i).
(iv) the minimum value of arg (z + i).




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