Question

To divide a line AB in the ratio $5:7$ a ray AX is drawn such that $\angle BAX$ is an acute angle. A ray BY is drawn parallel to AX. Points at equal distances marked on AX and BY and named as $A_1,A_2,A_3,...$ and $B_1,B_2,B_3,...$ respectively. Then which two points are to be joined.

• A. $A_5,B_7$
• B. $A_7,B_5$
• C. $A_8,B_4$
• D. $A_4,B_8$

Answer 1

The correct option is A $A_5,B_7$

The maximum number of points $=12$

In this process once line $AX$ and $BX$ is drawn, it is divided into $12$ equal parts. Hence for dividing in ratio $5:9$, we will join $A_5$ and $B_7$