Question : Two chords of a circle, $\overline{\mathrm{AB}}$ and $\overline{\mathrm{CD}}$, meet outside the circle at the point $\mathrm{P}$. If $\mathrm{m}(\overline{\mathrm{AP}})=200 \mathrm{~mm}, \mathrm{~m}(\overline{\mathrm{AB}})$ $=120 \mathrm{~mm}$, and $\mathrm{m}(\mathrm{CP}) = 160 \mathrm{~mm}$, what is the length of $\mathrm{CD}$?

Option 1: 100 mm

Option 2: 75 mm

Option 3: 60 mm

Option 4: 150 mm