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If a triangle has its orthocentre at (1, 1) and circumcentre at $(\frac{3}{2}, \frac{3}{4})$ then the coordinates of the centroid of
the triangle are

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43,-56

43,56

-43,56

-43,-56

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detailed solution

Correct option is B

Since the centroid divides the line joining the orthocentre and circumcentre in the ratio 2 : 1 internally, therefore, if the centroid is (x, y), thenx=2.32+1.12+1=43 and y=2.34+1.12+1=56∴ Coordinates of centroid are 43,56

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If a triangle has its orthocentre at (1, 1) and circumcentre at 32,34 then the coordinates of the centroid ofthe triangle are

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If a triangle has its orthocentre at (1, 1) and circumcentre at $(\frac{3}{2}, \frac{3}{4})$ then the coordinates of the centroid of
the triangle are