# NCERT solutions for Class 10 Maths

#### BySchool Connect Online

Nov 3, 2021

NCERT solutions for class 10 maths are very important and essential for students. There’s too much ongoing pressure of board exams. The questions and concepts of class 10 much be clear to ace board exams. To understand the text and exam pattern better, NCERT solutions can be of great help.

When the student gets stuck with the questions, NCERT solutions for class 10 maths can help them get an idea of how and what to do answer the question. With pre researched and expert revised solutions to questions, students can learn and understand how to solve or answer a questions. It gives students a sample of how and what should be the answer to the question. Also with tons of homework and work pressure on students, NCERT solution for class 10 maths can make the homework easier and less confusing.

School Connect Online provides you NCERT solution for class 10 for every subject to help students as well as tutors. NCERT solutions for each subject, chapter and topic are available for students to read and learn.

The NCERT books followed in various CBSE and state board affiliated schools. At the end of each chapter, an exercise is provided. Students should solve those exercise questions thoroughly. In the final exam, questions are asked from these NCERT exercise problems. The questions are designed to increase students analytical skills and learning. Thus, should at least practice once all the exercise problems from the textbooks before the exams. Sometimes students get stuck and are not able to solve the questions. So, to help them we have provided detailed step by step NCERT Solutions for all the classes. These solutions will also help students in writing the answers in a better way from the exam perspective, so that they score more marks in exams.

## NCERT solutions for class 10

NCERT solutions for maths class 100

Chapter 1 – Real Numbers

Real numbers are simply the combination of rational and irrational numbers, in the number system. In general, all the arithmetic operations can be performed on these numbers and they can be represented in the number line, also. At the same time, the imaginary numbers are the un-real numbers, which cannot be expressed in the number line and is commonly used to represent a complex number.

Chapter 2 – Polynomials

Polynomials for class 10 concepts are given in detail. Go through this chapter to learn the concept of polynomials such as expressions, degrees, types, graphical representation and so on.

Chapter 3 – Pair of Linear Equations in Two Variables

Linear equations are equations of the first order. These equations are defined for lines in the coordinate system. An equation for a straight line is called a linear equation. The general representation of the straight-line equation is y=mx+b, where m is the slope of the line and b is the y-intercept.

Linear equations are those equations that are of the first order. These equations are defined for lines in the coordinate system.

Linear equations are also first-degree equations as it has the highest exponent of variables as 1.

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x). The values of x satisfying the quadratic equation are the roots of the quadratic equation (α,β).

Chapter 5 – Arithmetic Progressions

An arithmetic progression (A.P) is a progression in which the difference between two consecutive terms is constant.

Example: 2, 5, 8, 11, 14…. is an arithmetic progression.

Chapter 6 – Triangles

A triangle can be defined as a polygon which has three angles and three sides. The interior angles of a triangle sum up to 180 degrees and the exterior angles sum up to 360 degrees. Depending upon the angle and its length, a triangle can be categorized in the following types-

1. Scalene Triangle – All the three sides of the triangle are of different measure
2. Isosceles Triangle – Any two sides of the triangle are of equal length
3. Equilateral Triangle – All the three sides of a triangle are equal and each angle measures 60 degrees
4. Acute angled Triangle – All the angles are smaller than 90 degrees
5. Right angle Triangle – Anyone of the three angles is equal to 90 degrees
6. Obtuse-angled Triangle – One of the angles is greater than 90 degrees

Chapter 7 – Coordinate Geometry

Coordinate Geometry is considered to be one of the most interesting concepts of mathematics. Coordinate Geometry (or the analytic geometry) describes the link between geometry and algebra through graphs involving curves and lines. It provides geometric aspects in Algebra and enables them to solve geometric problems. It is a part of geometry where the position of points on the plane is described using an ordered pair of numbers. Here, the concepts of coordinate geometry (also known as Cartesian geometry) are explained along with its formulas and their derivations.

Chapter 8 – Introduction to Trigonometry

In the ΔABC right-angled at B, BC is the side opposite to ∠A, AC is the hypotenuse and AB is the side adjacent to ∠A.

Chapter 9 – Some Applications of Trigonometry

• Line of sight is the line drawn from the eye of the observer to the point on the object viewed by the observer.
• Horizontal level is the horizontal line through the eye of the observer.
• The angle of elevation is relevant for objects above horizontal level.
• The angle of depression is relevant for objects below horizontal level.

Chapter 10 – Circles

In Maths or Geometry, a circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the centre. The distance from the centre of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice the radius.

A circle is a basic 2D shape which is measured in terms of its radius. The circles divide the plane into two regions such as interior and exterior regions. It is similar to the type of line segment. Imagine that the line segment is bent around till its ends join. Arrange the loop until it is precisely circular.

Chapter 11 – Constructions

In this chapter, we will discuss how to construct the division of the line segment, constructions of triangles using scale factor, construction of tangents to a circle with two different cases are discussed here in detail. Go through this chapter, to learn the construction procedure.

Chapter 12 – Areas Related to Circles

Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, where r is the radius of the circle. This area formula is useful for measuring the space occupied by a circular field or a plot. Suppose, if you have the plot to fence it, then the area formula will help you to check how much fencing is required. Or suppose if you have to buy a tablecloth, then how much portion of cloth is needed to cover it completely.

Chapter 13 – Surface Areas and Volumes

The concept of surface area and volume for class 10 is provided here. In this chapter, we are going to discuss the surface area and volume for different solid shapes such as the cube, cuboid, cone, cylinder, and so on. The surface area can be generally classified into Lateral Surface Area (LSA), Total Surface Area (TSA), and Curved Surface Area (CSA).

Chapter 14 – Statistics

Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In other words, it is a mathematical discipline to collect, summarize data.

According to Merriam-Webster dictionary, statistics is defined as “classified facts representing the conditions of a people in a state – especially the facts that can be stated in numbers or any other tabular or classified arrangement”.

According to statistician Sir Arthur Lyon Bowley, statistics is defined as “Numerical statements of facts in any department of inquiry placed in relation to each other”.

Chapter 15 – Probability

The branch of mathematics that measures the uncertainty of the occurrence of an event using numbers is called probability. The chance that an event will or will not occur is expressed on a scale ranging from 0-1.

It can also be represented as a percentage, where 0% denotes an impossible event and 100 % implies a certain event.

## CBSE Class 10 Syllabus and deleted portion for 2020-2021

Check subject-wise details of the deducted portion of CBSE Class 10 syllabus from the following links:

## NCERT Question Papers

The question papers are prepared by the CBSE and other boards in accordance with the NCERT exam guidelines. Here, we have provided the question papers for class 6 to 12. By solving them students will get an idea about the question paper pattern, types of questions asked, marks distribution and important topics. These question papers will be more helpful for the class 12 and competitive exams.

#### By School Connect Online

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