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CAT 2004 — QA Question 19

2 CirclesEasy
Passage / Data

Answer the following question based on 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 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.

The length of SO is ________.

Answer & solution

  • A

    8√3 cm

  • B

    10√3 cm

  • 12√3 cm

  • D

    14√3 cm

Solution

SO2 = OQ2 – SQ2

∴ SO = 212-32 = 12√3 cm

Hence, option (c).

CAT 2004 QA Q19: The length of SO is ________. — Solution | TheCATExam