P≡(1,−9), Q≡(2,5) and R≡(6,7) are the co-ordinates of the vertices of △PQR, then find the co-ordinates of the centroid from the following alternatives given:
A
(103,−173)
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B
(1,3)
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C
(3,1)
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D
(−3,1)
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Solution
The correct option is C(3,1) P≡(1,−9) Q≡(2,5) R≡(6,7) ∴ Centroid (x,y)=(1+2+63,−9+5+73) =(93,33) ∴ Centroid =(3,1).