The length of the chord of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$, whose mid point is $\left(1, \frac{2}{5}\right)$, is equal to :

Question

$\frac{\sqrt{1691}}{5}$

$\frac{\sqrt{2009}}{5}$

$\frac{\sqrt{1541}}{5}$

$\frac{\sqrt{1741}}{5}$

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