Question

To divide a line segment AB in the ratio 3
:5, a ray AX is drawn so that angle BAX is
an acute angle and then at equal
distances points are marked on AX such
that the minimum number of these
points is: *
10
8
11​

Answer 1

Answer:

The minimum number of points=3+5=8

In this process, once line AX is drawn, it is divided into 8 equal parts using a pair of compass.

The points are marked from point A towards X. The last point is then joined to point B to line XB.

Lines are then drawn parallel to XB and passing through the points that were marked on AX. These lines can be drawn using set squares to ensure they are parallel.

These parallel lines will divide line AB into 8 equal parts. So, to divide the line in the ratio 3:5, the first three portions will be taken and last 5 left.