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p,Q,R are points in the sides BC,CA,AB respectively of a triangle ABC such that BP/PC=CQ/QA=AR/BR; AP^2+BQ^2+CR^2 is least when P,Q,R bisect the sides

p,Q,R are points in the sides BC,CA,AB respectively of a triangle ABC such that
BP/PC=CQ/QA=AR/BR;
AP^2+BQ^2+CR^2 is least when P,Q,R bisect the sides

Grade:12

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