Mathematics · 2020
JEE Main · 2 September 2020, Shift 1 · Q60
If the tangent to the curve y=x+ sin y at a point ( a, b ) is parallel to the line joining (0, 3/2) and (1/2, 2), then:
If the tangent to the curve $\displaystyle y=x+\sin y$ at a point $\displaystyle (\mathrm{a}, \mathrm{b})$ is parallel to the line joining $\displaystyle \left(0, \frac{3}{2}\right)$ and $\displaystyle \left(\frac{1}{2}, 2\right)$, then :
Official answer
(1)
$\displaystyle |b-a|=1$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.