Question

To divide a line segment PQ in the ratio 4 : 5, first a ray PX is drawn so that $\angle QPX$ is an acute angle and then at equal distances points are marked on the ray PX such that minimum number of these points is

• A. 4
• B. 5
• C. 9
• D. 11

Answer 1

The correct option is C 9

To divide a line segment in the ratio m : n, draw (m + n) arcs at equal distances on the extended ray.
Here, the line segment PQ is divided in the ratio 4 : 5.
$\Rightarrow m=4andn=5$
Now, m + n = 4 + 5 = 9
Thus, the minimum number of arcs of equal lengths to be drawn is 9.


Hence, the correct answer is option c.