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JEE MAIN 2022
25-07-2022_S2
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
Select the correct option:
A
$2 \log _{\mathrm{e}} 2$
B
4
C
1
D
$4 \log _{\mathrm{e}} 2$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
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