The slope of the tangent at any point (x, y) on a curve y = y(x)… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 10 April, Shift 1Homogeneous Differential Equations

The slope of the tangent at any point ( $x$ , $y$ ) on a curve $y = y(x)$ is $\frac{x^2 + y^2}{2xy}$ , $x > 0$ . If $y(2) = 0$ , then a value of $y(8)$ is:

A
$4\sqrt{3}$
B
$-4\sqrt{2}$
C
$-2\sqrt{3}$
D
$2\sqrt{3}$

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