JEE Math Practice Question
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 $$\left(\frac{-y}{x}\right)$$. If the curve passes through the points $$(1,2)$$ and $$(8,1)$$, then $$\left|y\left(\frac{1}{8}\right)\right|$$ is equal to
- A.$$2 \log _{e} 2$$
- B.4
- C.1
- D.$$4 \log _{e} 2$$
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