Answer :

Steps of Construction:

1. Draw a line segment AB of length 6.7cm.

2. Draw a ray AX making an acute angle with AB.

3. As we have to divide the line in ratio of 2:3, we will divide AX into five equal parts.

4. Taking A as center, cut an arc on AX. Mark the point as A_{1}.

5. Now, with A_{1} as center and same radius cut an arc on AX. Continue till A_{5}.

6. Join A_{5} to B.

7. Now draw a line from point A_{2} parallel to A_{5}B.

8. The point where it cuts AB is P.

9. AP:PB=2:3

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