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Mathematics · 2021

JEE Main · 26 February 2021, Shift 2 · Q65

Let slope of the tangent line to a curve at any point P (x, y) be given by (x y^2+y)/x. If the curve intersects the line x+2 y=4 at x=-2, then the…

Let slope of the tangent line to a curve at any point $\displaystyle \mathrm{P}(x, y)$ be given by $\displaystyle \frac{x y^2+y}{x}$. If the curve intersects the line $\displaystyle x+2 y=4$ at $\displaystyle x=-2$, then the value of $\displaystyle y$, for which the point $\displaystyle (3, y)$ lies on the curve, is :
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