Mathematics · 2023
JEE Main · 1 February 2023, Shift 2 · Q79
Let S ={x ∈ R: 0<x<1. and.2 tan^-1((1-x)/(1+x))= cos^-1((1-x^2)/(1+x^2))}. If n ( S ) denotes the number of elements in S then:
Let $\displaystyle \mathrm{S}=\left\{x \in \mathbf{R}: 0<x<1\right.$ and $\displaystyle \left.2 \tan ^{-1}\left(\frac{1-x}{1+x}\right)=\cos ^{-1}\left(\frac{1-x^2}{1+x^2}\right)\right\}$.
If $\displaystyle \mathrm{n}(\mathrm{S})$ denotes the number of elements in S then :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \mathrm{n}(\mathrm{S})=1$ and the element in S is less than $\displaystyle \frac{1}{2}$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.