\( O \) is the point of intersection of the diagonals \( A C \) and \( B D \) of a trapezium \( ...

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\( O \) is the point of intersection of the diagonals \( A C \) and \( B D \) of a trapezium \( A B C D \) with \( A B \| D C \). Through \( O \), a line segment \( P Q \) is drawn parallel to \( A B \) meeting \( A D \) in \( P \) and \( B C \) in \( Q \), then \( O P= \)
(a) \( O P=O Q \)
(b) \( O P=2 O Q \)
(c) \( O Q=2 O P \)
(d) \( O P=\frac{1}{3} O Q \)
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