CBSE Solution Class 10 Maths for all the exercises from Chapters 1 to 15 are provided here. These solutions are curated by our expert faculty to assist students in their board exam preparations. Students to seek out searching for trying to find the answers for CBSE Class 10 Maths textual questions can download all chapter-wise pdf to find a far better approach to unravel the issues.

The answers to the questions presented within the CBSE Class 10 Maths are undoubtedly the simplest study material a student can line up. These CBSE Solutions also will help students to create a deeper understanding of concepts covered in the school CBSE 10 Maths textbook. Practicing the textbook questions will help students analyze their level of preparation and therefore the understanding of concepts. The solutions to those questions present within the textbooks can help students to clear their doubts easily

## CBSE solution for class 10 maths

### 1. Real Numbers

The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2 (1.41421356…, the square root of 2, an irrational algebraic number). Included within the irrationals are the transcendental numbers, such as π (3.14159265…).

### 2. Polynomials

A polynomial is a mathematical expression that consists of variables and constants combined using addition, subtraction and multiplication. Variables may have non-negative integer exponents. Although division by a constant is allowed, division by a variable is not allowed. In this chapter, you will learn about types of polynomials, operations on polynomials, zeroes of polynomials, remainder theorem, and division of polynomials, factorization of the polynomials.

### 3. Pair of Linear Equations

If two linear equations have the two same variables, they are called a pair of linear equations in two variables. Following is the most general form of linear equations: a1x + b1y + c1 = 0 & a2x + b2y + c2 = 0

A pair of linear equations can be represented and solved by the following methods:

1. Graphical method
2. Algebraic method

Any equation of the form p(x) = 0, where p(x) is a polynomial of degree 2, is a quadratic equation. But when we write the terms of p(x) in descending order of their degrees, then we get the standard form of the equation. That is, ax2 + bx + c = 0, a ≠ 0 is called the standard form of a quadratic equation.

### 5. Arithmetic Progressions

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant. The difference is called the common difference of the AP and It is denoted by d. The members are called terms. The first member is called the first term. We can denote the common difference by d.

### 6. Triangles

Two triangles are said to be similar if (i) their corresponding angles are equal and (ii) their corresponding sides are proportional. All congruent triangles are similar but the similar triangles need not be congruent.  In a triangle, a line drawn parallel to one side, to intersect the other sides in distinct points, divides the two sides in the same ratio.

### 7. Coordinate Geometry

Coordinate Geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates. The number line which is also known as the Cartesian plane is divided into four quadrants by two axes perpendicular to each other, labeled as the x-axis (horizontal) and the y-axis (vertical line). The point at which the axes intersect is known as the origin. The location of any point on a plane is expressed by a pair of values (x, y) and these pairs are known as the coordinates.

### 8. Introduction to Trigonometry

The certain ratios involving the sides of a right-angled triangle are called Trigonometric ratios. Trigonometric ratios of an acute angle in a right triangle express the relationship between the angle and the lengths of the sides. The values of the trigonometric ratios of an angle do not vary with the lengths of the sides of the triangle if the angles remain the same.

### 9.Applications of Trigonometry

The line drawn from the eye of the observer to a point in the object where the person is viewing is called the line of sight. The angle made by the angle of sight with the horizontal when the object is above the horizontal level is called the angle of elevation. The angle made by the angle of sight with the horizontal when the object is below the horizontal level is called the angle of elevation.

### 10. Circles

A circle is a simple closed shape. It is the set of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant. In this chapter, we will learn about all the theorems and properties of circles.

### 11. Constructions

A geometrical construction is a process of drawing a geometrical figure using only two instruments – an ungraduated ruler, and a compass. A graduated scale and a protractor are used in the construction where measurements are also required. The following are some basic constructions: a) To bisect a given angle. b) To draw the perpendicular bisector of a given line segment. c) To construct an angle of 30°, 45°, 60°, etc.

### 12. Areas Related to Circles

The area of the circle is the measurement of the region enclosed by its boundary. Part of the circular region enclosed by two radii and the corresponding arc is called a sector of the circle. Part of the circular region enclosed between a chord and the corresponding arc is called a segment of the circle.

### 13. Surface Areas and Volume

The surface area is the area that describes the material that will be used to cover a geometric solid. When we determine the surface areas of a geometric solid we take the sum of the area for each geometric form within the solid. The volume is a measure of how much a figure can hold and is measured in cubic units. The volume tells us something about the capacity of a figure.

### 14. Statistics

Statistics forms the basis of analyzing numbers. The data set can be raw, grouped and ungrouped. In this chapter, we’ll be studying collecting raw data, representing data in the form of a histogram, bar graph or the frequency of polygon and how to find mean median and mode.

### 15. Probability

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). In mathematics, when the next outcome of the experiment cannot be determined then we say it is a random experiment. A trial is an action that results in one or several outcomes, for example, each toss of the coin and each throw of the die are called trials.

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