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Question

If a triangle has its orthocenter at (1, 1) and circumcenter at (32,34) , then the coordinates of the centroid of the triangle are


A

(43,56)

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B

(43,56)

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C

(43,56)

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D

(43,56)

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Solution

The correct option is B

(43,56)


Since the centroid divides the line joining the orthocenter and circumcenter in the ratio 2:1 internally,

Therefore, if the centroid is (x, y), then

x=2.32+1.12+1=43 and y=2.34+1.12+1=56

Coordinates of centroid are (43,56)


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