1.

Origin is the centroid of a triangle ABC. If A =(4, –3) and B = (–5, 2), then find the coordinates of C.

Answer»

Suppose C =  (x,y) Then

(0,0) = (4 - 5 + x/3, -3 + 2 + y)

⇒ 4 - 5 + x/3 = 0 and  -3 + 2 + y/3 = 0

⇒ x = 1, y = 1

So the coordinates of C are (1,1).



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