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If two vertices of a triangle are (-2,3)...

If two vertices of a triangle are `(-2,3)` and `(5,-1)` the orthocentre lies at the origin, and the centroid on the line `x+y=7` , then the third vertex lies at `(a) (7,4)` (b) (8,14)` `(c) (12 ,21)` (d) none of these

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