Let slope of the tangent line to a curve at any point P(x, y) be given by x y² + y x. If the curve intersects the line x + 2y = 4 at x = - 2, then the value of y, for which the point (3, y) lies on the curve, is:

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Feb, Evening shift · Q2783

JEE Main 202126 Feb, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let slope of the tangent line to a curve at any point P(x, y) be given by

{{x{y^2} + y} \over x}

. If the curve intersects the line x + 2y = 4 at x =

-

2, then the value of y, for which the point (3, y) lies on the curve, is :

JEE Main 2021 · 26 Feb, Evening shift · Q2783

JEE Main 202126 Feb, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let slope of the tangent line to a curve at any point P(x, y) be given by

{{x{y^2} + y} \over x}

. If the curve intersects the line x + 2y = 4 at x =

-

2, then the value of y, for which the point (3, y) lies on the curve, is :