Offline paper
Mathematics · 2016
JEE Main 2016 · 2016-04-03 Offline · Q77
If a curve y=f(x) passes through the point (1, -1) and satisfies the differential equation, y(1+x y) d x=x d y, then f(-1/2) is equal to:
If a curve $\displaystyle y=f(x)$ passes through the point $\displaystyle (1, -1)$ and satisfies the differential equation, $\displaystyle y(1+x y) d x=x d y$, then $\displaystyle f\left(-\frac{1}{2}\right)$ is equal to :
Official answer
(4)
$\displaystyle \frac{4}{5}$
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JEE Main 2016 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.