A) (1, 1)
B) (2, 2)
C) (3, 3)
D) (6, 6)
Correct Answer: B
Solution :
[b] The coordinates of C.M of three particle are \[x=\frac{{{m}_{1}}{{x}_{1}}+{{m}_{2}}{{x}_{2}}+{{m}_{3}}{{x}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}\] & \[y=\frac{{{m}_{1}}{{y}_{1}}+{{m}_{2}}{{y}_{2}}+{{m}_{3}}{{y}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}\] here \[{{m}_{1}}={{m}_{2}}={{m}_{3}}=m\] so \[x=\frac{({{x}_{1}}+{{x}_{2}}+{{x}_{3}})m}{m+m+m}=2\], \[y=\frac{({{y}_{1}}+{{y}_{2}}+{{y}_{3}})}{m+m+m}=2\] so coordinates of C.M. of three particle are (2,2)
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