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TIFR Mathematics 2025 | Part A | Question: 20

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Let $$\begin{align} & A=\left\{(\alpha, \beta) \in \mathbb{Z}^{2} \mid \text { the roots } r_{1}, r_{2}, r_{3}\right. \text { of the polynomial } \\ & \qquad \left.p(x)=x...