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In a /\ABC points D,E,F are taken on the...

In a `/_\ABC `points D,E,F are taken on the sides BC,CA and AB respectively such that `(BD)/(DC)=(CE)/(EA)=(AF)/(FB)=n` prove that `/_\DEF= (n^2-n+1)/((n+1)^2)` `/_\ABC`

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