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ICSE Class 10 Answered

P and Q are centres of circles with radii 9cm and 2cm respectively. PQ=17cm.R is centre of the circle of radius xcm which touches the above circles externally. PQR= 90° 
Asked by Usha | 02 Feb, 2018, 02:33: PM
answered-by-expert Expert Answer
begin mathsize 16px style increment PQR comma
PQ squared equals PR squared plus RQ squared
17 squared equals left parenthesis straight y plus 9 right parenthesis squared plus left parenthesis straight y plus 2 right parenthesis squared
289 equals straight y squared plus 18 straight y plus 81 plus straight y squared plus 4 straight y plus 4
2 straight y squared plus 22 straight y minus 204 equals 0
straight y squared plus 11 straight y minus 102 equals 0
left parenthesis straight y minus 6 right parenthesis left parenthesis straight y plus 17 right parenthesis equals 0
As space straight y not equal to 0 rightwards double arrow straight y equals 6 end style
Answered by Sneha shidid | 03 Feb, 2018, 07:55: PM
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