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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 PQ is 28 cm.
What is the ratio of the length of PQ to that of QO?
  • a)
    1 : 4
  • b)
    1 : 3
  • c)
    3 : 8
  • d)
    3 : 4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the adjoining figure, I and II are circles with centres P and Q, re...
Let the diameter of circle I and II be 4x and 3x, respectively.
ΔOSQ is similar to ΔORP by AA criteria.
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Most Upvoted Answer
In the adjoining figure, I and II are circles with centres P and Q, re...
Let the diameter of circle I and II be 4x and 3x, respectively.
ΔOSQ is similar to ΔORP by AA criteria.
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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 PQ is 28 cm.What is the ratio of the length of PQ to that of QO?a)1 : 4b)1 : 3c)3 : 8d)3 : 4Correct answer is option 'B'. Can you explain this answer?
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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 PQ is 28 cm.What is the ratio of the length of PQ to that of QO?a)1 : 4b)1 : 3c)3 : 8d)3 : 4Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 PQ is 28 cm.What is the ratio of the length of PQ to that of QO?a)1 : 4b)1 : 3c)3 : 8d)3 : 4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 PQ is 28 cm.What is the ratio of the length of PQ to that of QO?a)1 : 4b)1 : 3c)3 : 8d)3 : 4Correct answer is option 'B'. Can you explain this answer?.
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