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In the adjoining figure, I and II are circles with centres P and Q respectively. The two circles touch each other and have a common tangent that touches them at points R and S respectively. This common tangent meets the line joining P and Q at O. The diameters of I and II are in the ratio 4:3. It is also known that the length of PO is 28 cm.
[1] What is the ratio of the length of PQ to that of QO?
(1) 1: 4
(2) 1:3
(3) 3:8
(4) 3:4[2] What is the radius of the circle II?
(1) 2 cm
(2) 3 cm
(3) 4 cm
(4) 5 cm[3] The length of SO is ________.
(1) 8√3 cm
(2) 10√3 cm
(3) 12√3 cm
(4) 14√3 cmasked in CAT
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