 # CBSE Class 10 Maths Syllabus: Check Topics Removed

## CBSE Class 10 Maths Syllabus: Check Topics Removed

Maths is one of the most crucial subjects for a student who wishes to pursue a career in engineering and other related fields.

Contents

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Chapter 1 – Real Numbers

Real numbers form the number system that includes both rational and irrational numbers. They can be operated using arithmetic operations and can be plotted on a number line. On the other hand, imaginary numbers are not real and cannot be represented on the number line. They are often used to represent complex numbers.

Chapter 2 – Polynomials

This chapter provides a detailed explanation of the concept of polynomials for class 10. It covers various topics such as polynomial expressions, degrees, types, and graphical representation. By going through this chapter, students can understand the fundamentals of polynomials and their applications in solving real-world problems.

Chapter 3 – Pair of Linear Equations in Two Variables

Linear equations are equations of the first degree, which means that the highest exponent of the variable in the equation is 1. These equations represent straight lines on the coordinate system. The general representation of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.

A quadratic equation is a second-degree polynomial equation in one variable, usually written in the standard form: ax^2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0. The coefficient a is called the leading coefficient, and c is the constant term.

The solutions of a quadratic equation are the values of x that make the equation true, and they are called the roots of the quadratic equation. In general, a quadratic equation has two roots, which can be real, complex or equal, depending on the value of the discriminant b^2-4ac.

Chapter 5 – Arithmetic Progressions

An arithmetic progression (A.P) is a sequence in which each term after the first is obtained by adding a constant value, called the common difference, to the preceding term.

For example, the sequence 2, 5, 8, 11, 14, … is an arithmetic progression with a common difference of 3.

Chapter 6 – Triangles

A triangle is a polygon with three sides and three angles. The interior angles of a triangle always add up to 180 degrees, while the exterior angles always add up to 360 degrees. There are different types of triangles based on the length and size of their sides and angles:

• Scalene Triangle: A triangle with three sides of different lengths.
• Isosceles Triangle: A triangle with two sides of equal length.
• Equilateral Triangle: A triangle with three sides of equal length and three angles measuring 60 degrees each.
• Acute Triangle: A triangle with all three angles less than 90 degrees.
• Right Triangle: A triangle with one angle exactly measuring 90 degrees.
• Obtuse Triangle: A triangle with one angle greater than 90 degrees.

Chapter 7 – Coordinate Geometry

Coordinate Geometry, also known as Analytic Geometry, is an intriguing branch of mathematics that establishes a connection between geometry and algebra through graphs comprising of lines and curves. This field enables us to solve geometric problems using algebraic methods and provides geometric interpretations of algebraic concepts.

It deals with the position of points on a plane, which is described using ordered pairs of numbers. In this way, we can represent geometric shapes using equations and manipulate them using algebraic techniques.

Chapter 8 – Introduction to Trigonometry

In triangle ΔABC, ∠B is a right angle, and BC is the side opposite to ∠A. AC is the hypotenuse of the triangle, and AB is the side adjacent to ∠A.

Chapter 9 – Some Applications of Trigonometry

• The line of sight refers to the straight line that originates from the observer’s eye and extends towards the point on the object being viewed.
• The horizontal level represents the imaginary line passing horizontally through the observer’s eye.
• The angle of elevation is the angle formed between the line of sight and the horizontal level when the object being observed is situated above the horizontal level.
• The angle of depression is the angle formed between the line of sight and the horizontal level when the object being observed is situated below the horizontal level.

Chapter 10 – Circles

In mathematics and geometry, a circle is a two-dimensional shape that is defined as a set of points in a plane that are equidistant from a fixed point called the center. The distance from the center of the circle to any point on the circle is called the radius. A line segment that passes through the center and has its endpoints on the circle is called the diameter, which is equal to twice the radius.

A circle is a special type of ellipse where the eccentricity is zero, meaning the two foci coincide at the center of the circle. The circle can also be defined as the locus of points in a plane that are equidistant from the center.

The circle is a fundamental shape in mathematics and geometry that divides the plane into two regions – the interior and exterior of the circle. To visualize a circle, one can imagine taking a line segment and bending it until its ends meet, forming a perfect circular shape.

Chapter 11 – Constructions

This chapter covers the construction of line segments that are divided into equal or proportional parts, as well as the construction of triangles using a given scale factor. We will also explore how to construct tangents to a circle in two different cases.

By following the step-by-step procedures outlined in this chapter, you will gain a thorough understanding of the techniques used in construction and be able to apply them to a wide range of problems.

Whether you are a student or a professional, this chapter provides valuable insights into the practical applications of geometry and the construction of geometric shapes. So, read on to explore the exciting world of geometric construction!

Chapter 12 – Areas Related to Circles

The area of a circle refers to the region enclosed by the circular boundary in a two-dimensional plane. It is a crucial metric for measuring the space occupied by circular objects, such as fields or plots of land. The formula for calculating the area of a circle is A = πr², where “r” represents the radius of the circle.

This area formula can be utilized in a variety of practical scenarios. For instance, if you need to fence a circular plot of land, the area formula can help you determine the amount of fencing required. Similarly, if you need to buy a tablecloth to cover a circular table, the area formula can help you calculate the required amount of cloth accurately.

Chapter 13 – Surface Areas and Volumes

This chapter aims to introduce the fundamental concepts of surface area and volume for class 10 students. The chapter will cover the calculation of surface area and volume for various solid shapes, including but not limited to the cube, cuboid, cone, cylinder, and more.

Surface area can be divided into different categories, namely the Lateral Surface Area (LSA), Total Surface Area (TSA), and Curved Surface Area (CSA). The LSA is the sum of the areas of all the lateral faces of a solid shape, excluding the top and bottom faces. The TSA, on the other hand, includes the areas of all the faces, including the top and bottom faces. The CSA refers to the area of the curved surface of a solid shape, such as a cone or cylinder.

Chapter 14 – Statistics

Statistics is the mathematical study of data collection, analysis, interpretation, presentation, and organization. It involves summarizing numerical facts in relation to each other, often represented in tables or graphs.

Chapter 15 – Probability

Probability is a branch of mathematics that quantifies the likelihood of an event using numerical values, typically between 0 and 1. This scale can also be expressed as a percentage, where 0% indicates impossibility and 100% indicates certainty.

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

Check subject-wise details of the deducted portion of CBSE Class 9 syllabus from the following links:

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