Let slope of the tangent line to a curve... | Tangent and Normal

JEE MAIN 2021

26.02.21_S2

Question

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

Select the correct option:

$\frac{18}{35}$

$-\frac{4}{3}$

$-\frac{18}{19}$

$-\frac{18}{11}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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