NCERT Solutions for Class 10 Maths Chapter 11 Constructions

 

NCERT Solutions for Class 10 Maths Chapter 11 Constructions-

In this chapter, we deal with problems constructions. Construction is a part of Geometry. Geometry holds 15 marks in the final exams and construction is one of the scoring chapters of geometry unit. In the previous year exam, one question of 4 marks were asked from constructions. In this chapter, there are 2 exercises with 14 questions. The NCERT Solutions for Class 10 Maths Chapter 11 Constructions are prepared and solved by our maths experts. These NCERT solutions are the detailed explanation of questions of NCERT textbook of class 10 and these solutions help students in their preparation of CBSE Class 10 Board exam.

In class 9, we have done certain calculations and constructions using a compass and a straight edge (ruler), for example, construction of triangles, drawing the perpendicular bisector of a line segment and much more and also gave their justifications. In NCERT Class 10 Maths Chapter 11 Constructions we will study some more constructions by using class 9 concepts of the constructions. This chapter is about the construction of a line segment and a circle, division of a line segment and constructions of tangents to a circle using an analytical approach. Also, students have to provide justification for each answer. There is a total of 2 exercises in this chapter. In exercise 11.1, we will study how to divide a line segment and in exercise 11.2 we will study the construction of tangents to a circle.

The following constructions that we are going to learn in NCERT Class 10 Maths Chapter 11 Constructions:

  1. To divide a line segment in the given ratio.
  2. To construct a pair of tangents from an external point to a circle.
  3. To construct a triangle similar to a given triangle as per a given scale factor which may be greater than   1 or less than 1.

Construction: To construct the tangents to a circle from a point outside it.

Assume a circle with centre O and a point P outside it and we have to construct the two tangents from point P to the circle.

                                                    To construct the tangents to a circle from a point outside it

Steps  of  Construction:

1. Join PO and bisect it. Let M is the mid-point of PO.

2. Taking M as a centre and MO as radius, draw a circle. Let it intersect the given circle at the points Q and R.

3. Join PR and PQ. Then PR and PQ are the required two tangents.

Topics of NCERT Grade 10 Maths Chapter 11 Constructions-

11.1 Introduction

11.2 Division of a Line Segment

11.3 Construction of Tangents to a Circle

11.4 Summary

The complete Solutions of NCERT Class 10 Mathematics Chapter 11 is provided below:

NCERT Solutions for Class 10 Maths Chapter 11 Constructions - Exercise 11.1

NCERT Solutions for Class 10 Maths Chapter 11 Constructions - Exercise 11.2

 

NCERT Solutions for Class 10 Maths - Chapter-wise

Chapter No.

Chapter Name

Chapter 1

Real Numbers

Chapter 2

Polynomials

Chapter 3

Pair of Linear Equations in Two Variables

Chapter 4

Quadratic Equations

Chapter 5

Arithmetic Progressions

Chapter 6

Triangles

Chapter 7

Coordinate Geometry

Chapter 8

Introduction to Trigonometry

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

 

NCERT Solutions for Class 10 - Subject Wise

NCERT Solutions for Class 10 Maths

NCERT Solutions for Class 10 Science

 

Recently Asked Questions

 

Related Articles

Exams
Articles
Questions