Question

To divide a line segment $AB$ in the ratio $p:q$ ($p,q$ are positive integers), draw a ray $AX$ so that $\angle BAX$ is an acute angle and then mark points on ray $AX$ at equal distances such that the minimum number of these points is:

• A. Greater of $p$ and $q$
• B. $p+q$
• C. $p+q-1$
• D. $pq$

Answer 1

Answer: (B)

$p+q$

From the figure, we can see that the total number of equidistant points to be drawn on Ray $AX$ is $p+q$.