$AB$ and $CD$ are two chords of a circle which intersect each other externally at $P$ (i) If $AB = 4 cm BP = 5 cm$ and $PD = 3 cm$, then $CD$ = $12\ cm$ (ii) If $BP = 3 cm, CP = 6 cm$ and $CD = 2 cm$, then $AB$= $5\ cm$
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