Mathematics · 2022
JEE Main · 27 June 2022, Shift 2 · Q10
If the solution curve of the differential equation (( tan^-1 y)-x) d y=(1+y^2) d x passes through the point (1,0), then the abscissa of the point on…
If the solution curve of the differential equation $\displaystyle \left(\left(\tan ^{-1} y\right)-x\right) d y=\left(1+y^2\right) d x$ passes through the point $\displaystyle (1,0)$, then the abscissa of the point on the curve whose ordinate is $\displaystyle \tan (1)$, is
Official answer
(2)
$\displaystyle \frac{2}{e}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.