# Class 10 – Constructions – Previous Years Questions

Constructions – Previous Years Questions

1. Draw a circle of radius 5 cm. Construct a pair of tangents to it so that they are inclined at 60°. Measure the lengths of the two tangents. [CBSE 2017] [3 Marks]
2. Construct a triangle with sides 5 cm, 6 cm and 7 cm. Now construct another triangle whose sides are 2/3 times the corresponding sides of the first triangle. [CBSE 2020] [3 Marks]
3. Draw a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°. [CBSE 2020] [3 Marks]
4. Draw a circle of radius 4 cm. Draw two tangents to the circle inclined at an angle of 60° to each other. [CBSE 2016] [4 Marks]
5. Draw a △PQR with side QR = 7 cm, ∠Q = 45° and ∠R = 105°. Then, construct a triangle whose sides are 4/3 times the corresponding sides of △PQR. [CBSE 2017] [4 Marks]
6. Draw a △ABC with BC = 6 cm, AB = 5 cm ∠ABC = 60°. Then construct a triangle whose sides are 3/4 of the corresponding sides of the △ABC. [CBSE 2018] [4 Marks]
7. Construct a pair of tangents to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre. [CBSE 2019] [4 Marks]
8. Construct a △ABC with side BC = 6 cm, AB = 5 cm and ∠ABC = 60°. Then construct another triangle whose sides are 3/4 of the corresponding sides of the △ABC. [CBSE 2019] [4 Marks]
9. Construct a triangle, the lengths of whose sides are 5 cm, 6 cm and 7 cm. Now construct another triangle whose sides are 5/7 times the corresponding sides of the first triangle. [CBSE 2019] [4 Marks]