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Let ABC be a triangle. Three points D, E...

Let ABC be a triangle. Three points D, E and F are on the sides AB, AC and BC respectively so that BDEF is a parallelogram. M and N are mid points of the sides DE and EF. If vector `bar(MN)=(1)/(4)bar(AC)`. Then find the ratio in which D and F divides the sides AB and BC.

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