Mathematics · 2024
JEE Main · 29 January 2024, Shift 1 · Q13
A function y=f(x) satisfies f(x) sin 2 x+ sin x-(1+ cos^2 x) f^′(x)=0 with condition f(0)=0. Then, f((π)/2) is equal to
A function $\displaystyle y=f(x)$ satisfies $\displaystyle f(x) \sin 2 x+\sin x-\left(1+\cos ^2 x\right) f^{\prime}(x)=0$ with condition $\displaystyle f(0)=0$. Then, $\displaystyle f\left(\frac{\pi}{2}\right)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 1$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.