Let slope of the tangent line to a curve at any point \( P(x, y) \)...

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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
P
W) line \( x+2 y=4 \) at \( x=-2 \), then the value of \( y \), for which the point \( (3, y) \) lies on the cune, is:
[JEE Main-2021 (February)]
(a) \( -\frac{18}{19} \)
(b) \( -\frac{4}{3} \)
(c) \( \frac{18}{35} \)
(d) \( -\frac{18}{11} \)
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