NCERT Solutions for Class 10 Maths are solved by experts of MyWayTeaching in order to help students to obtain excellent marks in their board examination. All the questions and answers that are present in the CBSE NCERT Books have been included on this page. We have provided all the Class 10 Maths NCERT Solutions with a detailed explanation, i.e., we have solved all the questions with step-by-step solutions in understandable language. So students having great knowledge of NCERT Solutions Class 10 Maths can easily make a grade in their board exams. Read on to find out more about NCERT Solutions for Class 10 Mathematics. You can also practice Extra Questions for Class 10 Maths on MyWayTeaching.
NCERT Class 10 Maths Chapters and Exercises
Chapter 1 – Real Numbers
In Chapter 1 of Class 10, students will explore real numbers and irrational numbers. The chapter starts with Euclid’s Division Lemma which states that “Given positive integers a and b, there exist unique integers q and r satisfying a = BQ + r, 0≤r<b”. The Euclid’s Division algorithm is based on this lemma and is used to calculate the HCF of two positive integers.
Chapter 2 – Polynomials
In Polynomials, the chapter begins with the definition of the degree of the polynomial, linear polynomial, quadratic polynomial, and cubic polynomial. This chapter has a total of 4 exercises including an optional exercise.
Chapter 3 – Pair of Linear Equations in Two Variables
This chapter explains the concept of Pair of Linear Equations in Two Variables. This chapter has a total of 7 exercises, and in these exercises, different methods of solving the pair of linear equations are described.
Chapter 4 – Quadratic Equations
In this chapter, students will get to know the standard form of writing a quadratic equation. The chapter goes on to explain the method of solving the quadratic equation through the factorization method and completing the square method.
Chapter 5 – Arithmetic Progressions
This chapter introduces students to a new topic is Arithmetic Progression, i.e. AP. The chapter constitutes a total of 4 exercises.
Chapter 6 – Triangles
In Chapter 6 of Class 10 CBSE Maths, students will study those figures which have the same shape but not necessarily the same size. The chapter starts with the concept of a similar and congruent figure.
Chapter 7 – Coordinate Geometry
In this chapter, students will learn how to find the distance between two points whose coordinates are given, and to find the area of the triangle formed by three given points. Along with this, students will also study how to find the coordinates of the point which divides a line segment joining two given points in a given ratio.
Chapter 8 – Introduction to Trigonometry
This chapter will introduce students to Trigonometry. They will study some ratios of a right triangle with respect to its acute angles, called trigonometric ratios of the angles.
Chapter 9 – Some Applications of Trigonometry
This chapter is the continuation of the previous chapter as here the students will study the applications of trigonometry. It is used in geography, navigation, construction of maps, determining the position of an island in relation to the longitudes and latitudes.
Chapter 10 – Circles
In earlier classes, students have studied about a circle and various terms related to a circle such as a chord, segment, arc, etc. In this chapter, students will study the different situations that arise when a circle and a line are given in a plane.
Chapter 11 – Constructions
This chapter consists of a total of 2 exercises. Whatever students have learned about construction in earlier classes will also help them.
Chapter 12 – Areas Related to Circles
This chapter begins with the concepts of perimeter and area of a circle. Using this concept, the chapter further explains how to find the area of sector and segment of a circular region.
Chapter 13 – Surface Areas and Volumes
In Chapter 13, there are a total of 5 exercises. The exercise consists of questions based on finding the surface area of an object formed by combining any two of the basic solids, i.e cuboid, cone, cylinder, sphere, and hemisphere.
Chapter 14 – Statistics
Here, students will learn the numerical representation of ungrouped data to grouped data and finding the Mean, Mode, and Median. Also, the concept of cumulative frequency, cumulative frequency distribution, and how to draw cumulative frequency curves will be explained.
Chapter 15 – Probability
The last chapter deals with Probability. The chapter starts with the theoretical approach of probability. Subsequently, the chapter explains the difference between experimental probability and theoretical probability.
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