Mathematics · 2023
JEE Main · 1 February 2023, Shift 1 · Q63
Let S={x: x ∈ R. and.(√ 3 +√ 2 )^x^2-4+(√ 3 -√ 2 )^x^2-4=10}. Then n(S) is equal to
Let $\displaystyle S=\left\{x: x \in \mathbb{R}\right.$ and $\displaystyle \left.(\sqrt{3}+\sqrt{2})^{x^2-4}+(\sqrt{3}-\sqrt{2})^{x^2-4}=10\right\}$.
Then $\displaystyle n(S)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 4$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.