Draw a line segment 6 cm. Using compasses and ruler, find a point P on it which divides it in the ratio 3: 4.(CBSE 2011)

Steps of Construction:

1.Draw a line segment AB of length 6cm.

2.Draw a ray AZ making an acute angle with the line AB.

3.As we have to divide the line in the ratio of 3:4. So we will make 3 + 4 = 7 points along AZ.

4. Along AZ we mark 7 arcs taking A as starting point for the first, A1 as a starting point for second and so on till A7.

5. Join the A7B.

6.With the help of these arcs, this line can be divided into 7 equal points.

7.In our case of 3:4, we join the 3^rd point i.e. A3 with the line AB such that the line A3P is parallel to line A7B.

8. P is the required point, the point that divides the line in ratio of 3:4.