JEE Main 202311 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let S={z∈C−{i,2i}:z2+8iz−15z2−3iz−2∈R}\mathrm{S}=\left\{z \in \mathbb{C}-\{i, 2 i\}: \frac{z^{2}+8 i z-15}{z^{2}-3 i z-2} \in \mathbb{R}\right\}S={z∈C−{i,2i}:z2−3iz−2z2+8iz−15∈R}. If α−1311i∈S,α∈R−{0}\alpha-\frac{13}{11} i \in \mathrm{S}, \alpha \in \mathbb{R}-\{0\}α−1113i∈S,α∈R−{0}, then 242α2242 \alpha^{2}242α2 is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
