Let a curve y=f(x) pass through the point (2, ( _ e 2 )^ 2 ) and … - Vidyadip

MCQ

Let a curve $y=f(x)$ pass through the point $\left(2,\left(\log _{e} 2\right)^{2}\right)$ and have slope $\frac{2 y}{x \log _{e} x}$ for all positive real value of $x$. Then the value of $f(e)$ is equal to $.....$

A
$1$
B
$2$
C
$3$
D
$4$

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