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Chapter 12 - Reflection. Chapter 13 - Section and Mid-Point Formula. Chapter 14 - Equation of a Line. Chapter 16 - Loci Locus and Its Constructions. Chapter 17 - Circles. Chapter 18 - Tangents and Intersecting Chords. Chapter 19 - Constructions Circles. Chapter 21 - Trigonometrical Identities. Chapter 22 - Heights and Distances. Chapter 25 - Probability. Revision Notes. Share this with your friends Share Share. Register now. Crash Courses JEE Crash Course. NDA Crash Course.
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Sample Papers. Reference Book Solutions. ICSE Solutions. School Syllabus. Important Questions. Math Formula Sheets. Our Results. About Vedantu. Child Safety. There are 4 Exercises present in this chapter.
Students will learn about real numbers and irrational numbers in the 1st chapter of Class 10 Maths. Exercise 1. There are a total of 4 Exercises including an optional Exercise in the 2nd chapter of class 10 Maths. The first Exercise is about to find zeros of polynomials p x.
In the second Exercise, the students need to find a quadratic polynomial. The third Exercise has questions on division of polynomials. The last Exercise covers questions from all the concepts of Class 10 Maths Chapter 2.
Exercise 2. The third chapter of class 10 maths is about the linear equations in two variables. It describes what a linear equation in two variables is and how to solve the problems on linear equations in two variables. In the first Exercise Ex 3. The second Exercise, i. The next four Exercises, Ex 3. The methods explained here are algebraic method, cross-multiplication method, elimination method and substitution method.
Exercise 3. It contains questions from all the Exercises. This chapter explains what a quadratic equation is and the methods of solving quadratic equations.
It also explains the factorization method of solving quadratic equations and the square method. The chapter gives the details of relationships between discriminant and nature of roots.
Also, the problems of real life have been solved as examples in this chapter. Exercise 4. This chapter introduces a new topic to the students - Arithmetic Progression, commonly called as AP. Students Vedantu Class 10 Maths Ch 1 Mod will learn Vedantu Class 10 Maths Ch 1 Week what is AP, derivation of nth term, finding the sum of first n terms of the AP and solving the real life problems using AP in this chapter. The first Exercise of the chapter teaches how to represent a problem or situation in the form of AP, how to find the first term and difference of the AP, and to find whether the given series is Ap or not.
The next Exercise, Ex 5. The third Exercise describes how to find the sum of first n terms of AP and contains questions related to the topic. The last and fourth Exercise have questions related to the topics taught in the chapter. Exercise 5. The chapter 6 of class 10 gives details about the triangles. The chapter gives details about the figures with the same shape but different sizes. It explains the similarity of the triangles, theorems associated with the similarity of triangles and the concept of congruent triangles.
Further, theorems related to areas of triangles, the Pythagoras theorem and the converse of pythagoras theorem is explained.
Exercise 6. Class 10 Maths Chapter 7 explains coordinate geometry, the maths of locating a given point with the help of an ordered pair of numbers. The coordinate or cartesian geometry helps to find the distance between two points whose coordinates are given. The concept of finding the area of a triangle formed by three given points.
Also, the ways of finding the coordinates of the point which divides a line segment joining two given points in a given ratio is explained in the chapter. Exercise 7. Trigonometry is the study of the ratio of right triangles with respect to the acute angles, which are known as trigonometric ratios of the angles.
Students will also learn to calculate trigonometric ratios for the given angles and also a few trigonometric identities. Exercise 8. Chapter 9 is the continuation of chapter 8 where the students will learn about the application of trigonometry which they learnt in the previous chapter. This chapter helps to understand how trigonometry is applied to our everyday life to find out the height and distance of various objects. They will also learn how trigonometry is applied and used in navigation, construction and determining the position of any piece of land based on their latitude and longitudes.
Exercise 9. In this chapter, students will be introduced to the concept of tangents and number of tangents from a point on a circle. Exercise Chapter 11 is one of the interesting chapters. This chapter is all about constructing various geometric figures.
The students will learn to divide a line segment, and how to draw tangents to a circle. The methods of construction are well explained in the chapter to clear the concepts. As the name suggests, the chapter is about the perimeter and area of a circle. The concepts of finding the area of a sector and segment of a circle is clarified here.
This chapter further explains how to find the area of the figures that contains a circle or part of a circle. In the five Exercises of this chapter, finding the surface area of any object which is made up of two or more different solid shapes. The solid shapes include cuboid, cone, sphere, hemisphere and cylinder. Then, there are questions on finding the volume of the objects that are again made up of two different solid shapes.
Also, there are questions which ask about the conversion from one shape to another. This chapter further explains how to find the volume, curved surface area and total surface area of a frustum of a cone. This is another interesting chapter where the students learn about the numerical representation of data, grouped or ungrouped. They further learn about finding the mean, median and mode of the given data.
In the next Exercise, they will learn about the cumulative frequency distribution and drawing cumulative frequency curves. It elaborates and explains the difference between experimental probability and theoretical probability. The chapter is full of examples to clear the concept of probability to the learners. Students can download the PDF easily and start going through the chapters. You will find clear Vedantu Class 10 Maths Ch 3 Unit categorisation and step by step solutions of all the questions with a clear conclusion.
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