A) 2, 3, 4
B) 3, 4, 5
C) 2, 4, 5
D) 2, 3, 5
Correct Answer: A
Solution :
Let \[{{r}_{1}},{{r}_{2}},{{r}_{3}}\] be the radii of the circles. Then, from the figure, \[{{r}_{1}}+{{r}_{2}}=5\] ?..(i) \[{{r}_{2}}+{{r}_{3}}=7\] ?..(ii) \[{{r}_{3}}+{{r}_{1}}=6\] ?..(iii) Adding equations (i), (ii) and (Hi) we get \[2({{r}_{1}}+{{r}_{2}}+{{r}_{3}})=18\] or \[{{r}_{1}}+{{r}_{2}}+{{r}_{3}}=9\] ?..(iv) Subtracting respectively equations (ii), (iii), (i) from equation (iv), We get, \[{{r}_{1}}=2,\,\,{{r}_{2}}=3,\,\,{{r}_{3}}=4\]You need to login to perform this action.
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