NCERT Solutions Class 10 Mathematics Chapter 11 Constructions Download In Pdf

Chapter 11 Constructions Download in pdf

EXERCISE 11.1

In each of the following, give the justification of the construction also:

**Question
1.** Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two
parts.

**Question 2.** Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose
sides are
2
3 of the corresponding sides of the first triangle.

**Question 3.** Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose
sides are
7
5 of the corresponding sides of the first triangle.

**Question
4.** Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another
triangle whose sides are 1 1
2
times the corresponding sides of the isosceles triangle.

**Question
5.** Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and ∠ ABC = 60°. Then construct
a triangle whose sides are
3
4
of the corresponding sides of the triangle ABC.

**Question
6.** Draw a triangle ABC with side BC = 7 cm, ∠ B = 45°, ∠ A = 105°. Then, construct a
triangle whose sides are 4
3
times the corresponding sides of Δ ABC.

**Question
7.** Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and
3 cm. Then construct another triangle whose sides are 5
3
times the corresponding sides
of the given triangle.

EXERCISE 11.2

In each of the following, give also the justification of the construction:

**Question
1.** Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair
of tangents to the circle and measure their lengths.

**Question
2.** 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.

**Question
3.** Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter
each at a distance of 7 cm from its centre. Draw tangents to the circle from these two
points P and Q.

**Question
4.** Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an
angle of 60°.

**Question
5.** Draw a line segment AB of length 8 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.

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- Chapter 3 Pair of Linear Equations In Two Variables
- Chapter 4 Quadratic Equations
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction To Trigonometry
- Chapter 11 Constructions
- Chapter 9 Some Applications of Trigonometry
- chapter 10 Circles
- Chapter 12 Areas Related To Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
- Chapter 5 Arithmetic Progressions

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