CAT Question 170

In the adjoining figure I and II are circles with P and Q respectively, The two circles touch each other and have 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.

Q.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

Q.2. What is the radius of the circle II?
1. 2 cm
2. 3 cm
3. 4 cm
4. 5 cm

Q.3

3 Responses to “CAT Question 170”

  1. arpit agarwal Says:

    answer is 2nd option.
    pq:qo=1:3

  2. sudhan Says:

    Q2) 2
    Q4) 3

  3. ayush Says:

    1. pq : qo :: 1:3
    2. 3
    3. 3rd option 12root3

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