If $5x+9=0$ is the directrix of the hyperbola  $16{\mathrm{x}}^2-9{\mathrm{y}}^2=144$ Then its corresponding focus is _______

$\text{ data }\Rightarrow \mathrm{a}=3,\mathrm{b}=4,e=\sqrt{\frac{25}{9}}=\frac{5}{3}$
foci are $\mathrm{S},{\mathrm{S}}^1\text{ are }(\pm \mathrm{ae},0)\text{ (ie) }\mathrm{S}(5,0)\text{ and }{\mathrm{S}}^1(-5,0)\text{ clearly }{\mathrm{S}}^1(-5,0)$ is nearest to $5\mathrm{x}+9=0$