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Consider a triangle ABC in xy-plane with D, E and F as the middle points of the sides, BC, CA and AB respectively. If the co-ordinates of the point D,E,F are ((3)/(2),(3)/(2)),((7)/(2),0)and (0,(-1)/(2)) then: STATEMENT-1: Circumcentre of triangle ABC lies inside the triangle. STATEMENT-2: Orthocentre, centroid, circumcentre and incentre of triangle DEF are collinear but of triangle ABC are not-collinear. STATEMENT-3: Distance between centrioid and ortocente of DeltaABC is (5sqrt2)/(3). |
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Answer» F F T |
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