### Lt r be a real constant greater than 2 the set z c z 1

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a) Let r be a real constant greater than 2. The set {z ? C| |z + 1| + |z -1| = r} is a curve in the plane. Describe it and then find its equation in terms of x and y.

(b) Next, assume that -2. Describe the curve {z ?C | |z + 1| - |z -1| = r} and find its equation.

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