Constructions T...

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

To divide a line segment AB in the ration 2 : 5, first a ray AX is drawn, so that ∠BAX is an acute angle and then at equal distances points are marked on the ray such that the minimum number of these points is :

To divide a line segment PQ in the ratio 2 : 7, first a ray PZ is drawn so that ∠QPX is an acute angle and then at equal distances points are marked on the ray PX such that the minimum number of these points is :

To divide a line segment LM in the ratio a : b, where a and b are positive integers, draw a ray LX so that  ∠MLX is an acute angle and then mark points on the ray LX at equal distances such that the minimum number of these points is :