$\displaystyle \textup{Consider hyperbola S::xy+7x+5y=0.}$

$\displaystyle \textup{If an ellipse touches the asymptotes of the curve S=0,}$

$\displaystyle \textup{then the eccentricity of locus of centre of the ellipse is??}$

sorry by mistake i posted in the rong forum...plzz move it to the correct one