JEE Main 2022 · 25 Jul · Shift 2, Mathematics question 11

Let a smooth curve $y=f(x)$ be such that the slope of the tangent at any point $(x,y)$ on it is directly proportional to $\left(\dfrac{-y}x\right)$. If the curve passes through the points $(1,2)$ and $(8,1)$, then $\left|y\left(\dfrac18\right)\right|$ is equal to