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If S, S_(1), S_(2) be the circles of radii 5, 3, 2 respectively. If S_(1) and S_(2) touch externally and they touchinternally with S. The radius of circle S_(3) which touches externally with S_(1) and S_(2) and internally with Sis : |
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Answer» `(30)/(19)` `(r+2)^(2)+(r+3)^(2)3` `=2.3^(2)+3.2^(2)+5(5-r)^(2)` `rArr 76r = 120` `rArr r = (120)/(76)` `rArr r = (30)/(19)`
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