In a circle, two chords BA and DC intersect outside the circle at point P and at the same time chord DA and BC intersects inside the circle at point Q. If BQ = 5 cm, AQ = 15 cm, DQ = 3 cm, PA = 5 cm, PB = 6 cm and PD = 15 cm then find the ratio of PC and CQ.

1
2 : 7
2
7 : 9
3
2 : 9
4
9 : 2

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