# NCERT Solutions Class 10 Maths Chapter 11 Constructions

NCERT Solutions for Class 10 Maths Chapter 11 Constructions will help students revise the basics of construction that include topics like bisecting an angle, drawing perpendicular bisectors, lines, etc. In earlier classes, kids were taught how to use geometrical instruments such as a ruler and a compass effectively to make precise measurements as well as to draw accurate figures. This chapter takes these concepts up by a notch and requires students to provide mathematical reasoning as to why such constructions can be made in that particular way. NCERT solutions for class 10 maths chapter 11 encourages kids to construct different figures enabling them to get a complete understanding of that topic and further their geometrical knowledge.

There are three major topics encompassed in the Class 10 Maths NCERT Solutions Chapter 11 that are the construction of a line segment, a similar triangle, and a tangent to a circle. Each topic sees the use of various properties associated with these figures thus, kids must be well-versed in them. In this article, we will understand the concept of construction as well as find various tips and tricks to solve all the questions of NCERT Solutions Chapter 11 Constructions and also you can find some of these in the exercises given below.

## NCERT Solutions for Class 10 Maths Chapter 11 PDF

This chapter focuses on teaching kids how to use simple instruments to get precise measurements. For example, suppose a line segment needs to be divided in a particular ratio most people would measure the length and mark a point to do the needful. However, suppose a situation arises where you do not have the correct instruments to measure the line then the procedure for finding this point has been outlined in the NCERT solutions class 10 maths chapter 11. A detailed explanation of these solutions can be accessed through the links provided below:

**ā** Download Class 10 Maths NCERT Solutions Chapter 11 Constructions

**NCERT Class 10 Maths Chapter 11 **

### NCERT Solutions for Class 10 Maths Chapter 11 Constructions

Construction is a fundamental concept that can benefit students as they get to learn more about various shapes and figures. The steps to perform the same have been listed very meticulously in the NCERT Solutions Class 10 Maths Chapter 11 Maths. However, it is vital for kids to periodically revise these and draw the figures by hand to improve their accuracy. If a step gets missed out or there is some careless mistake the entire question will be marked incorrect. Given below is an in-depth explanation of all the exercise-wise problems that students can use to better their understanding of the subject.

- Class 10 Maths Chapter 11 Ex 11.1 - 7 Questions
- Class 10 Maths Chapter 11 Ex 11.2 - 7 Questions

ā Download Class 10 Maths Chapter 11 NCERT Book

**Topics Covered:** Class 10 Maths NCERT Solutions Chapter 11 covers topics such as division of a line segment, construction of tangents to a circle, number of tangents from a point on a circle, and drawing similar triangles given a scale factor. These topics are explained with figures and examples in a stepwise manner.

**Total Questions:** Class 10 Maths Chapter 11 Constructions covers a total of 14 questions distributed equally in two exercises. Out of the 14 problems 6 are easy, 6 are mildly challenging, and two are in the long answer type format. Students can time themselves while solving these questions to increase their speed.

## List of Formulas in NCERT Solutions Class 10 Maths Chapter 11

NCERT Solutions Class 10 Maths Chapter 11 lays emphasis on constructing various figures such as triangles, tangents, and dividing line segments into ratios. All the construction practices are explained in a detailed manner. This chapter needs precision and accuracy thus, students need to work on the concepts carefully. There are no formulas in this chapter but there is a heavy focus on the properties of such figures as well as the steps required to construct them. The NCERT Solutions Class 10 Maths Chapter 11 elucidates the construction of such shapes using well-thought-out and clear steps as given below.

**Construction of a line segment AB and dividing it into a fixed ratio m:n **

Step 1: Draw a line AY at an acute angle with AB.

Step 2: Mark m + n points on AY. Each segment that the points make must be of equal length.

Step 3: We join the last point, say C, to B on AB.

Step 4: Next we join the point that is equal to the value of m to another point, say D, on AB such that the line is exactly parallel to CB. Then AD : DB will be equal to m : n.

## FAQs on NCERT Solutions Class 10 Maths Chapter 11

### How CBSE Students can utilize NCERT Solutions Class 10 Maths Chapter 11 effectively?

NCERT Solutions Class 10 Maths Chapter 11 Constructions help students explore various construction methods. All these techniques are explained in detail, along with the justification for each and every step. This lesson can help students understand the logic behind the construction. All the questions in this chapter need to be solved by strictly adhering to the steps mentioned in the examples.

### Do I Need to Practice all Questions Provided in NCERT Solutions Class 10 Maths Constructions?

Practice yields perfection and mastery of your art. Thus, it is essential to revise the NCERT Solutions Class 10 Maths Constructions so as to gain an in-depth understanding of the topic. As this is a very hands-on lesson, practice is what will help children decipher complex questions as well as draw exact figures without making mistakes.

### What are the Important Topics Covered in NCERT Solutions Class 10 Maths Chapter 11?

The topics covered in NCERT Solutions Class 10 Maths Chapter 11 are the construction of tangents to a circle, division of line segments in a given ratio, and construction of a triangle using a scale factor The questions based on these topics can be easily explored with the help of detailed stepwise solutions that justify the construction of different figures.

### Why are NCERT Solutions Class 10 Maths Chapter 11 Important?

NCERT Solutions Class 10 Maths Chapter 11 consists of well-researched questions presented in a structure that can be easily understood. This is a very scoring lesson and hence, it is vital to present the steps to the solution in a way that can be easily comprehended. As these solutions give a step-wise explanation to each sum, it is advantageous to use them as a cross-reference source.

### What are the Important Formulas in Class 10 Maths NCERT Solutions Chapter 11?

There are no formulas however, the NCERT Solutions Class 10 Maths Chapter 11 has a set of important theorems related to the construction of figures like triangles, line segments, and tangents. These can help students understand constructions in a stepwise manner. Additionally, the properties of various shapes are also utilized to make these constructions.

### How Many Questions are there in NCERT Solutions Class 10 Maths Chapter 11 Constructions?

NCERT Solutions Class 10 Maths Chapter 11 Constructions consists of 14 questions in total. These 14 sums are equally distributed in two exercises. All these sums help kids experience a new aspect of construction giving them a holistic understanding of the chapter.