The line $12\mathrm{x} \cos \mathrm{\theta } + 5\mathrm{y} \sin \mathrm{\theta } = 60$ is tangent to which of the following curves?

eq of Tangent $12\mathrm{x} \mathrm{cos\theta }+5\mathrm{y} \mathrm{sin\theta }=60$

$\frac{\mathrm{x}}{5} \mathrm{cos\theta }+\frac{\mathrm{y}}{12 }\sin \theta =1$

By verification

it touches the ellipse $\frac{{\mathrm{x}}^2}{25}+\frac{{\mathrm{y}}^2}{144}=1$