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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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If (α,β),(xˉ,yˉ)(\alpha, \beta),(\bar{x}, \bar{y}) and (u,v)(u, v) are respectively coordinates of the circumoentre, centroid and orthocentre of a triangle. Then,
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Correct option: A
3xˉ=2α+u3 \bar{x}=2 \alpha+u and 3yˉ=2β+v3 \bar{y}=2 \beta+v
Option A is correct because the centroid divides the line joining the circumcentre and orthocentre in the ratio 2:1.

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