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Question

If (53,3) is the centroid of a triangle and its two vertices are (0,1) and (2,3), then the coordinates of the third vertex are

A
(1,2)
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B
(2,3)
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C
(3,4)
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D
(3,5)
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Solution

The correct option is D (3,5)
Let the third vertex of triangle be (x,y), then
x+0+23=53 and y+1+33=3x=3, y=5

Hence, the third vertex is (3,5).

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