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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. Find the length of SO 
Asked by rushabhjain.avv | 01 Apr, 2019, 07:49: AM
answered-by-expert Expert Answer
begin mathsize 16px style OP over OQ equals PR over QS equals 4 over 3 OP equals 28 OQ equals 21 PQ equals OP minus OQ equals 7 PQ over OQ equals 7 over 21 equals 1 third PR plus QS equals PQ equals 7 RP over QS equals 4 over 3 QS equals 3 SO equals square root of OQ squared minus QS squared end root equals square root of 21 squared minus 3 squared end root equals 12 square root of 3 straight a end root end style
Answered by Sneha shidid | 01 Apr, 2019, 09:47: AM

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