In trapezium \( A B C D, A B \| D C \) and \( D C=2 A B . E F \| A B \), where \( E \) and \( F ...

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In trapezium \( A B C D, A B \| D C \) and \( D C=2 A B . E F \| A B \), where \( E \) and \( F \) lie on \( B C \) and \( A D \) respectively, such that \( \frac{B E}{E C}=\frac{4}{3} \). Diadonal \( D B \) intersects \( E F \) at \( G \). Prove that \( 7 E F=11 A B \)
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