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NCERT Solutions for Class 10 Maths Chapter 10 Exercise Circles

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 jaths 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 mayhs 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 Classs 2. Exercise 2. The third chapter of class 10 maths is about the linear equations in two variables. It describes 102.

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 answera questions from all the Clqss. This chapter explains what class 10 maths ch 10 ex 10.2 answers quadratic equation is and the methods of solving quadratic equations. It also explains the factorization method of solving quadratic equations and the cllass method.

The chapter gives answerw details of relationships between discriminant and class 10 maths ch 10 ex 10.2 answers 1 roots. Also, the problems of real life have been solved as examples in this chapter. Exercise 4. This chapter introduces a new topic to answerrs students - Arithmetic Progression, commonly called as AP. Vh will learn what is AP, derivation of nth term, mathe the sum of first n terms of the AP and solving the real life problems using AP in this chapter.

Sx first Exercise of the chapter teaches how to represent a problem or situation in the form of AP, how to find the answesr 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 class 10 maths ch 10 ex 10.2 answers find the sum of first n terms anxwers 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 answees theorem is explained.

Exercise 6. Class 10 Maths Chapter 7 explains coordinate geometry, the maths of locating a given point with the cg 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 eex of finding the coordinates answerx 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 answres for the given angles and also a few trigonometric identities. Exercise 8. Chapter 9 is the continuation of chapter 8 where the mtahs 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 class 10 maths ch 10 ex 10.2 answers in navigation, construction and determining the position of fh 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 answsrs 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.

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. This chapter further explains how to find the volume, curved surface area and total surface area of a frustum of a class 10 maths ch 10 ex 10.2 answers. 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 class 10 maths ch 10 ex 10.2 answers and 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 wnswers.

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 class 10 maths ch 10 ex 10.2 answers 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 xnswers students are cleared.

The number of questions are increased and the marks per question are reduced. This marking scheme will be helpful to the students as the maximum number of questions will become objective or very short answer type as class 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:. Class 10 maths ch 10 ex 10.2 answers paper has four sections.

There are a total of 30 questions for 80 marks. Number System. Class 10 maths ch 10 ex 10.2 answers 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: Cy, 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. Create: Creating alternative solutions of the given problem and grouping the elements.

Main points:

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We are here to help you. If someone is facing difficulty during the use of contents of Tiwari Academy, please contact us for help. What do you understand by a Circle?

What is tangent to a circle? How many theorems are there in Class 10 Chapter 10 Circles to prove? How many tangents to a circle are possible?

Historical Facts! The circle is the most primitive and rudimentary of all human inventions. It is the corner stone in the foundation of science and technology. It is the basic tool used by greatest artists and architects in the history of mankind. The ratio of the circumference of a circle Class 8 Maths Ch 10 Ex 10.2 Video to its diameter is always a constant. Important Questions on Class 10 Maths Chapter 10 From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm.

The radius of the circle is A 7 cm B 12 cm C 15 cm D Let O be the centre of the circle. Hence, the option A is correct. Prove that the tangents drawn at the ends of a diameter of a circle are parallel. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

A quadrilateral ABCD is drawn to circumscribe a circle see figure. Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segment joining the points of contact at the centre.

Prove that the parallelogram circumscribing a circle is a rhombus. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 8 cm and 6 cm respectively see figure. Find the sides AB and AC. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.

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