jee-main 2023 Q74

jee-main · India · session2_10apr_shift1 Differential equations Solving Separable DEs with Initial Conditions
The slope of 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
(1) $-4\sqrt{2}$
(2) $2\sqrt{3}$
(3) $-2\sqrt{3}$
(4) $4\sqrt{3}$
The slope of 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\\
(1) $-4\sqrt{2}$\\
(2) $2\sqrt{3}$\\
(3) $-2\sqrt{3}$\\
(4) $4\sqrt{3}$