MathematicsMedium38×since 2002Q3500Let a smooth curve y=f(x)y=f(x)y=f(x) be such that the slope of the tangent at any point (x,y)(x, y)(x,y) on it is directly proportional to (−yx)\left(\frac{-y}{x}\right)(x−y). If the curve passes through the points (1,2)(1,2)(1,2) and (8,1)(8,1)(8,1), then ∣y(18)∣\left|y\left(\frac{1}{8}\right)\right|y(81) is equal toA2loge22 \log _{e} 22loge2B4C1D4loge24 \log _{e} 24loge2Check answerSkip