JEE Advanced 2025 Paper 1 Mathematics Q7

Mathematics

Problem

Let ℝ denote the set of all real numbers. Let z₁ = 1 + 2i and z₂ = 3i be two complex numbers, where i = √−1. Let S = {(x, y) ∈ ℝ × ℝ : |x + iy − z₁| = 2|x + iy − z₂|}. Then which of the following statements is (are) TRUE?

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