Question

In trapezium $ABCD,AB\parallel DC$ and the diagonals intersect at $O$, then $\frac{OD}{OC}=$ ?

• A. $\frac{AB}{CD}$
• B. $\frac{OB}{OA}$
• C. $\frac{OC}{OD}$
• D. $\frac{AC}{BD}$

Answer 1

The correct option is B $\frac{OB}{OA}$

In the given trapezium, $AB\parallel DC$

then $\frac{OD}{OB}=\frac{OC}{OA}$

$\therefore$ $\frac{OD}{OC}=\frac{OB}{OA}$.

Hence, option (B) is correct.