X CBSE NCERT Maths Chap 11 - Constructions Solved Questions

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CONSTRUCTIONS Questions for self practice

1. Draw a line segment AB of length 4.4cm. Taking A as centre, draw a circle of radius 2cm and taking B as centre, draw another circle of radius 2.2cm. Construct tangents to each circle from the centre of the other circle.

2. Draw a pair of tangents to a circle of radius 2cm that are inclined to each other at an angle of 90.

3. Construct a tangent to a circle of radius 2cm from a point on the concentric circle of radius 2.6cm and measure its length. Also, verify the measurements by actual calculations. (length of tangent =2.1cm)

4. Construct an isosceles triangle whose base is 7cm and altitude 4cm and then construct another similar triangle whose sides are 3/2 times the corresponding sides of the isosceles triangle.

5. Draw a line segment AB of length 8cm. taking A as center, draw a circle of radius 4cm and taking B as centre, draw another circle of radius 3cm. Construct tangents to each circle from the center of the other circle.
Section-B
PRACTICE EXERCISE

1. Divide a line segment of length 10 cm internally in the ratio 3 : 5. Also, justify your construction.

2. Divide a line segment of length 7.8 cm internally in the ratio 4 : 3. Also, justify your construction.

3. Draw a right angled triangle ABC with AB = 4.5 cm, AC = 7.5 cm and < B = 90°. Construct another DA’BC’ whose corresponding sides are 5/3 times of given triangle.

4. Construct a D ABC with BC = 6 cm, <A = 60° and median AD through A is 5 cm long. Construct a DA’BC’ similar to DABC with BC = 8 cm.

5. Construct a DABC similar to a given equilateral triangle PQR with side 5 cm such that each of its sides is 6/7 th of the corresponding sides of DPQR.

6. Construct a DABC, BC = 6.5 cm, <B = 45° and <A = 100°. Construct another triangle similar to the triangle ABC whose sides are 6/5 times of the triangle ABC

7. Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also, verify the measurement by actual calculation. (Ans. 4.5 cm approx)

8. Draw a circle of radius 3.5 cm. Take two points A and B on one of its extended diameter each at a distance of 8 cm from its centre. Draw tangents to the circle from these two points A and B.

9. Draw a line segment AB of length 11 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.

10. Let ABC be a right triangle in which AB = 6 cm, BC = 8 cm and <B = 90°. BD is the perpendicular from B on AC. The circle through B, C, D is drawn. Construct the tangents from A to this circle.

10th Maths SA-2 Chapter Quick links

Quadratic Equations
Circles
Co-ordinate Geometry
Arithmetic Progressions
Area Related to Circles
Probability
Height and Distance
Surface Areas and Volumes
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