Question

To divide a line segment $AB$ in the ratio $4:7$, a ray $AX$ is drawn first such that $BAX$is an acute angle and then points $A_1,A_2,A_3......$ are located at equal distances on the ray $AX$ and the point $B$ is joined to:

• A. $A_{11}$
• B. $A_{10}$
• C. $A_9$

Answer 1

The correct option is A

$A_{11}$

According to the given details, we know that

A line segment $AB$ in the ratio $4:7$

So, $A:B=4:7$

Now,

Draw a ray $AX$ making an acute angle $BAX$

Minimum number of points located at equal distances on the ray,

$AX=A+B=4+7=11$

$A_1,A_2,A_3......$ are located at equal distances on the ray $AX$.

Hence, point $B$ is joined to the last point is $A_{11}$.