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Question
Find the equation in cartesian coordinates of the locus of z if |z − 5 + 6i| = 5
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Solution
Let z = x + iy
|z − 5 + 6i| = 5
∴ |x + iy − 5 + 6i| = 5
∴ |(x − 5) + i (y + 6)| = 5
∴ `sqrt((x - 5)^2 + (y + 6)^2)` = 5
∴ (x − 5)2 + (y + 6)2 = 25
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