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Question -

A (3, 2) and B (-2, 1) are two vertices of a triangle ABC whose centroid G has the coordinates (5/3 , −1/3) . Find the coordinates of the third vertex C of the triangle. [CBSE 2004]



Answer -

A (3, 2) and B (-2, 1) are the two vertices of ∆ABC whose centroid is G (5/3 , −1/3)
Let third vertex C be (x, y)

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