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NVAMediumJEE Main 2023 · 11 April, Shift 2Complex Numbers Basics

Mathematics Question from JEE Main 2023 · 11 April, Shift 2

Let S={z∈C−{i,2i}:z2+8iz−15z2−3iz−2∈R}S = \left\{z \in \mathbb{C} - \{i, 2i\}: \frac{z^2 + 8iz - 15}{z^2 - 3iz - 2} \in \mathbb{R} \right\}. If α−1311i∈S\alpha - \frac{13}{11}i \in S, α∈R−{0}\alpha \in \mathbb{R} - \{0\}, then 242α2242\alpha^2 is equal to _____.

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