JEE MAIN 2023 Previous Year Questions (PYQs) – Page 34 of 34
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Let $S=\left\{x:\ x\in\mathbb{R}\ \text{and}\ (\sqrt{3}+\sqrt{2})^{\,x^{2}-4}+(\sqrt{3}-\sqrt{2})^{\,x^{2}-4}=10\right\}$. Then $n(S)$ is equal to:
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Solution
If the center and radius of the circle $\left|\dfrac{z-2}{z-3}\right|=2$ are respectively $(\alpha,\beta)$ and $\gamma$, then $3(\alpha+\beta+\gamma)$ is equal to:
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Solution
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