If ${}^{2n}C_{3}:{}^{n}C_{3}=10:1$, then the ratio $\left({n}^{2}+3n\right):\left({n}^{2}-3n+4\right)$ is [JEE Main 2023, 6 Apr (Shift 1)]

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If \({}^{2n}C_{3}:{}^{n}C_{3}=10:1\), then the ratio \(\left({n}^{2}+3n\right):\left({n}^{2}-3n+4\right)\) is [JEE Main …