In the given figure, $A B \| P Q$. If $A B=6 \mathrm{~cm}, P Q=2 \mathrm{~cm}$ and $O B=3 \mathrm{~c

Question

In the given figure, $A B \| P Q$. If $A B=6 \mathrm{~cm}, P Q=2 \mathrm{~cm}$ and $O B=3 \mathrm{~cm}$, then the length of $O P$ is :\

Professor PC Thomas Classes · Answer

(d): $\operatorname{In} 	riangle O P Q$ and $	riangle O B A$\ $\because \quad A B \| P Q$\ $\Rightarrow \frac{O P}{O B}=\frac{P Q}{B A}=\frac{O Q}{O A} \Rightarrow \frac{O P}{3}=\frac{2}{6}$\ $\Rightarrow \quad O P=1 \mathrm{~cm}$