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CBSE Class 10 Answered

Please solve this question 
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Asked by vikasg13.hardware | 30 Jun, 2018, 12:06: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space circles space be space straight S subscript 1 space and space straight S subscript 2 comma space having space centres space straight O subscript 1 space and space straight O subscript 2
Radius space of space straight S subscript 2 space is space 100 space units
Radius space of space straight S space equals OE space equals OO subscript 2 space plus space straight O subscript 2 straight E space equals 100 plus 100 equals 200
straight O subscript 2 straight X space equals 200
OX space equals 100
OO subscript 1 space equals space 200 minus straight r
draw space increment OXO subscript 1
Cos space 120 space equals fraction numerator 100 squared plus straight r squared minus open parentheses 200 minus straight r close parentheses squared over denominator 2 cross times 100 cross times straight r end fraction
minus 100 straight r space equals 100 squared plus straight r squared minus open parentheses 200 minus straight r close parentheses squared
straight r space equals 60 space units
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Answered by Arun | 10 Jul, 2018, 11:12: AM
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