Mathematics · 2021
JEE Main · 25 February 2021, Shift 1 · Q69
If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is (x^2-4 x+y+8)/(x-2), then this curve also passes…
If a curve passes through the origin and the slope of the tangent to it at any point $\displaystyle (x, y)$ is $\displaystyle \frac{x^2-4 x+y+8}{x-2}$, then this curve also passes through the point :
Official answer
(2)
$\displaystyle (5,5)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.