Following is the construction of the division of the line segment. Line AB = 12 cm, divide it in 2 : 3 ratio.

1. Draw a line segment AB = 12 cm using a ruler.

Choose the correct next step from the given options.

Steps of construction:

1. Draw a line segment AB = 12 cm using a ruler.

2. Through points A and B draw two parallel lines on the opposite side of AB and make the same acute angles with the line segment.

3. Cut 2 equal parts on AX and 3 similar on BY such that AX₁ = X₁X₂ and BY₁ = Y₁Y₂ = Y₂Y₃.

4. Join X₂Y₃ which intersects AB at P

Hence,  $\frac{\mathrm{AP}}{\mathrm{PB}} = \frac{2}{3}$.