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NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progression (Ex ) Exercise

The study material contains an exhaustive explanation to all the questions. These answers are written clearly and step by step to maximise retention. While going through these solutions, students will find themselves understanding the concept better. Practising regularly is a prerequisite if students want to score well in mathematics. You can consult the guide to brush up your memory or help you if you get stuck. 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 5.1 10th class ncert solutions ag. 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 5.1 10th Class Ncert Solutions Singapore 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 will learn what is AP, derivation of nth term, finding the sum of first n 5.1 10th class ncert solutions ag 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 5.1 10th class ncert solutions ag 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 5.1 10th Class Ncert Solutions Video 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 5.1 10th class ncert solutions ag 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 5.1 10th class ncert solutions ag 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. 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. 5.1 10th class ncert solutions ag solid shapes include cuboid, cone, sphere, hemisphere 5.1 10th class ncert solutions ag 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. 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 5.1 10th class ncert solutions ag. 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 5.1 10th class ncert solutions ag start going through the chapters. You will find clear categorisation and step by step solutions of all the questions with a clear conclusion. This will help you to understand how you can write answers in your exams to help you score.

The exam is of marks where 80 marks is for theory whereas 20 marks is given for internal assessment. To understand the marking scheme in a better way, you should understand the exam pattern clearly. To score good in the exam, you should know how much mark is awarded for each question and each step of the question.

Every year, just before the board exams, the board releases sample papers and marking schemes so that all the doubts of the students are cleared. The number of questions are increased and the marks per question are reduced. This marking scheme will be helpful to 5.1 10th class ncert solutions ag students as the maximum number of questions will become objective or very short answer type as the marks per question has reduced.

CBSE focuses on all-round development of Class 10 students to prepare them for their further education. To perform well in Class 10 then becomes fairly important. CBSE marking scheme is stepwise so you have scored accordingly.

Therefore students should write each step clearly and give a proper conclusion at the end of the answer. The unit wise marks weightage of the mathematics paper is as follows:. The paper has four sections. There are a total of 30 questions for 80 marks. Number System. Coordinate geometry. Statistics and probability. The question paper design will be:. Sl No. Type of Questions. Total Marks.

Memory: Terms, answers, basic concepts and recalling of facts. Understanding: Compare, organize, interpret, translate, describe and stating main ideas.

Apply: Solving problems by applying the knowledge, facts, theorems and rules in different ways. Analyse: Analyse the information provided and making inferences. Evaluate: Opine about the validity of quality of work and validity of ideas. 5.1 10th class ncert solutions ag Creating alternative solutions of the given problem and grouping the elements.

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Question 1: Why is atomic number of an element more important to a chemist than its atomic mass? Or Atomic number is considered to be a more appropriate parameter than atomic mass for classification of elements in a periodic table.

Answer 1: The properties of element depend upon the number of electrons present in the valence shell which are related to atomic number. Thus the properties of different elements can be compared if we know their atomic numbers. On the other hand, atomic mass can in no way determine the chemical properties of elements, because is does not vary regularly with gradation in the chemical properties of elements.

Justify your answer in each case. Answer 2: a Electronic configuration of X is 2, 8, 8, 2. Its valency is 2. It belongs to group 2 and can lose 2 electrons easily. Since valency of Y is -2 2, 6. Question 3: The element Li, Na and K, each having one valence electron, are in period 2, 3 and 4 respectively of Modern Periodic Table.

Give reason to justify your answer in each case. Answer 3: a Group 1. These all have one valency. Its outermost orbit is very near to the nucleus and so removal of electron is a little difficult. It occupies three shells. Download Offline Solutions Apps to use without internet, free of cost.

Write two reasons responsible for the late discovery of noble gases. State Modern Periodic Law. What is the Modern Periodic Table called? Metals have tendency to form cations. Why is Fluorine atom smaller than chlorine atoms? Given reason why Non-metals have tendency to gain electrons?

Important Questions on 10th Science Chapter 5 What property do all elements in the same column of the Periodic Table as boron have in common?

All the elements in the same column as boron have the same number of valence electrons 3. Hence, they all have valency equal to 3.

What property do all elements in the same column of the Periodic Table as fluorine have in common? All the elements in the same column as fluorine have the same number of valence electrons 7. Hence, they all have 5.1 10th Class Ncert Solutions Company valency equal to 1.

The class 10th maths chapter 5 exercise 5. The focus is on increasing the concept-based understanding of students, which will lead you to score well in your exams. Your class 10th score matters a lot as students are distributed streams according to their class 10 score.

Prepare for your exams better with class 10 maths ex 5. Download exercise 5. Now, take a look at other exercises in this chapter. The paper is designed to test both mathematical and application-based knowledge in students. The types of questions students will find in their question paper are:. Very Short Answer Type Questions - 20 questions x 1 mark each.

Short Answer Type I Questions - 6 questions x 2 marks each. Long Answer Type Questions - 6 questions x 4 marks each. The class 10th maths syllabus is diversified so as to allow students to form a firm foundation for important mathematical concepts that will help them in their further studies. Each chapter is interconnected and requires constant practice to be able to score well.

Give below are the weightage marks of each unit so that students can plan their preparations effectively and score well in their exams. Weightage Marks.

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