Mathematics · 2025
JEE Main · 23 January 2025, Shift 2 · Q19
Let x=x(y) be the solution of the differential equation y=(x-y (d x)/(d y)) sin (x/y), y>0 and x(1)=(π)/2. Then cos (x(2)) is equal to:
Let $\displaystyle x=x(y)$ be the solution of the differential equation $\displaystyle y=\left(x-y \frac{\mathrm{~d} x}{\mathrm{~d} y}\right) \sin \left(\frac{x}{y}\right), y>0$ and $\displaystyle x(1)=\frac{\pi}{2}$. Then $\displaystyle \cos (x(2))$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 2\left(\log _e 2\right)^2-1$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.