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A point z moves along the circle |z - 4 - 3i| = 2 in the Argand plane. Find the maximum and minimum values of |z| (the distance of z from the origin).

1. 2, 1
2. 6, 5
3. 7, 3
4. 4, 3

Correct answer: 7, 3

Solution

The centre 4+3i is at distance 5 from the origin, and the radius is 2, so |z| ranges from 5-2 to 5+2.

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