JEE Advanced 2024 Paper 1 Mathematics Q6

Mathematics

Problem

Let ℝ² denote ℝ × ℝ. Let S = {(a, b, c) : a, b, c ∈ ℝ and ax² + 2bxy + cy² > 0 for all (x, y) ∈ ℝ² − {(0, 0)}}. Then which of the following statements is (are) TRUE?

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