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CAT 2004 | Question: 56

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Answer the question on the basis of the information given below:

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 P and Q at O. The diameters of I and II are in the ration $4:3.$ It is also known that the length of PO is $28$ cm.

What is the ration of the length of PQ to that of QO?

  1. $1:4$
  2. $1:3$
  3. $3:8$
  4. $3:4$
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