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(B) Given that point $P$ lies on the line segment $\overline{AB}$ such that $A-P-B$.The ratio in which $P$ divides $\overline{AB}$ from $A$ is given a

Vedclass · Accepted Answer

$3:2$

Vedclass · Answer

(B) Given that point $P$ lies on the line segment $\overline{AB}$ such that $A-P-B$.The ratio in which $P$ divides $\overline{AB}$ from $A$ is given as $\frac{AP}{PB} = \frac{2}{3}$.We need to find the ratio in which $P$ divides $\overline{AB}$ from $B$,which is $\frac{BP}{PA}$.Since $\frac{AP}{PB} = \frac{2}{3}$,taking the reciprocal gives $\frac{PB}{AP} = \frac{3}{2}$.Therefore,the required ratio is $3:2$.

$\overline{AB}$ is given and $P$ is a point such that $A-P-B$. If $P$ divides $\overline{AB}$ from $A$ in ratio $2:3$,then $P$ divides $\overline{AB}$ from $B$ in ratio $\dots$.

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