\( \mathrm{O} \) is the point of intersection of the diagonals \( \mathrm{AC} \) and \( \mathrm{...

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\( \mathrm{O} \) is the point of intersection of the diagonals \( \mathrm{AC} \) and \( \mathrm{BD} \) of a trapezium \( \mathrm{ABCD} \) with \( \mathrm{AB} \| \mathrm{DC} \). Through \( \mathrm{O} \), a line segment \( \mathrm{PQ} \) is drawn parallel to \( \mathrm{AB} \) meeting \( \mathrm{AD} \) in \( \mathrm{P} \) and \( \mathrm{BC} \) in \( \mathrm{Q} \), then \( \mathrm{OP}= \)
a. \( \mathrm{OP}=\mathrm{OQ} \)
b. \( \mathrm{OP}=2 \mathrm{OQ} \)
c. \( \mathrm{OQ}=2 \mathrm{OP} \)
d. \( \mathrm{OP}=\frac{1}{3} \mathrm{OQ} \)
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