A) \[\left( 3,\frac{2}{3} \right)\]
B) \[\left( 2,\frac{3}{4} \right)\]
C) \[\left( 2,\frac{2}{3} \right)\]
D) None of these
Correct Answer: C
Solution :
(c): If mid-points are \[\left( {{x}_{1}},{{y}_{1}} \right)\left( {{x}_{2}},{{y}_{2}} \right)\left( {{x}_{3}},{{y}_{3}} \right),\] then centroid is given as, \[C\left( \frac{{{x}_{1}}+{{x}_{2}}+{{x}_{3}}}{3},\frac{{{y}_{1}}+{{y}_{2}}+{{y}_{3}}}{3} \right)\]\[=C\left( \frac{1+2+3}{3},\frac{1-3+4}{3} \right)\] \[=\left( 2,\frac{2}{3} \right)\]
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