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Complex Numbersmedium
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Consider the set of points S={z∈C:∣z−1∣=2∣z+1∣}S = \{z \in \mathbb{C} : |z - 1| = 2|z + 1|\}S={z∈C:∣z−1∣=2∣z+1∣}. What is the geometric locus of this set in the complex plane?