Mathematics · 2022
JEE Main · 28 June 2022, Shift 2 · Q11
Let the slope of the tangent to a curve y=f(x) at (x, y) be given by 2 tan x( cos x-y). If the curve passes through the point (π / 4,0), then the…
Let the slope of the tangent to a curve $\displaystyle y=f(x)$ at $\displaystyle (x, y)$ be given by $\displaystyle 2 \tan x(\cos x-y)$. If the curve passes through the point $\displaystyle (\pi / 4,0)$, then the value of $\displaystyle \int_0^{\pi / 2} y \mathrm{~d} x$ is equal to :
Official answer
(2)
$\displaystyle 2-\frac{\pi}{\sqrt{2}}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.