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Question

ABC is a triangle whose vertices are (2,−3),(4,2) and (−3,1), then the centroid P is

A
(1,0)
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B
(2,1)
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C
(1,2)
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D
(1,1)
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Solution

The correct option is C (1,0)

Centroid of a triangle with vertices
(x1,y1);(x2,y2) and (x3,y3) is calculated by the formula (x1+x2+x33,y1+y2+y33)


Hence, centroid of the given
triangle, ABC=(2+433,3+2+13)=(1,0)


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