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NCERT Solutions for Class 10 Maths - All Exercises Questions with Answers

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But we are looking forward to including this option in the future. All copyrights are reserved with ClassNotes. Cg X Mathematics Notes. Contains solved exercises, review questions, MCQs, important board questions and chapter overview. Class 10 Maths Notes. Chapter 1 - Quadratic Equation Overview Exercise 1. Chapter 3 - Variations Overview Exercise 3.

Chapter 4 - Partial Fractions Overview Exercise class 10 maths ch 1 ex 1.1 doc. Chapter 6 - Basic Statistics Overview Exercise 6. Cch 7 - Introduction to Trignometry Overview Exercise 7. Mtahs 9 - Chords of a Circle Overview Exercise 9. Chapter 10 - Tangent to a Circle Overview Exercise If you find any mistake or any problem with the notes, please send us an email at [email protected] Advertisement.

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Find the distance between the following pairs of points: i 2, 3 , 4, 1 ii -5, 7 , -1, 3 iii a, b , -a, -b Solution:. Find the distance between the points 0, 0 and 36, Determine if the points 1, 5 , 2, 3 and -2, are collinear. Check whether 5, -2 , 6, 4 and 7, -2 are the vertices of an isosceles triangle. In a classroom, 4 friends are seated at the points A, B, C and D as shown in the given figure. Using distance formula, find which of them is correct.

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer. Find the point on the x-axis which is equidistant from 2, -5 and -2, 9. Find the values of y for which the distance between the points P 2, -3 and Q 10, y is 10 units. If Q 0, 1 is equidistant from P 5, -3 , and R x, 6 , find the values of x. Also, find the distances QR and PR.

Find a relation between x and y such that the point x, y is equidistant from the points 3, 6 and -3, 4. The Perpendicular distance of x a point from the y-axis is called its x-coordinate or abscissa. At the end of the chapter, for recapitulation, a summary of the chapter is provided.

Mathematics NCERT Grade 10, Chapter 2, Polynomials chapter starts by citing about degrees of polynomial and differentiation of polynomials based on its degree. The next section describes the geometrical meaning of the zeroes of a polynomial. Various graphs are shown to explain how plotting of equations is done. Parabolas are introduced in this section. After that, solved examples are given to show how the number of zeroes can be determined by using the graphical method.

Exercise 2. In the next section, the relationship between zeroes and coefficients of a polynomial is explained. Moving further, students will learn about division algorithms for polynomials.

Additionally, an optional exercise is given but that exercise is just for practice and not given from the examination point of view.

For a perfect finish, a few important points are given to give a summary of the chapter. Mathematics NCERT Grade 10, Chapter 3- Pair of linear equations in two variables : This chapter starts with an introduction followed by a short description on the topic Pair of linear equations Class 10 Maths Ch 1 Ex 1.1 Ed in two variables.

The very first exercise contains 3 problems which are based on the concept on how a given situation can be represented algebraically and graphically. Here the concept of the inconsistent and consistent pair of linear equations is explained. Here the students have to check whether the given lines intersect at a point , are parallel or coincident.

Concept of upstream and downstream is cited in this section. In the end, an optional exercise and key points of the chapter are given. We all have dealt with so many real-life situations where we come across quadratic equations. A short example is given to explain how we can deal with real-life problems with quadratic equations.

Next part of the chapter deals with finding the solution of the quadratic equation by the following methods: Factorisation Completing the Squares Quadratic formula Later Ncert Solutions Of Class 10th Maths Chapter 9 Doc students will study the nature of roots using the determinant.

How to determine the nature of roots is made more clear by giving certain examples. In exercise, 4. In the end, all the important points of the chapters are covered in the summary. Once it is understood, the next step is to study the various terms related to arithmetic progression. This is the general form of an AP. Exercise 5. Moving ahead to the next section, students will find a detailed description on the n th term of an AP.

Various solved examples are given to make the problems of this chapter more comprehensible. In exercise 5. A few diagrammatic questions are also given which makes the exercise interesting. Later, a summary of the chapter is provided followed by a note to the reader. Factors like congruency and similarity are known to everyone.

But going deep into the same, a short description of similar figures is given. Certain factors are stated that helps in recognizing whether the figures are similar or not. An activity is given to make this concept more clear. The next section is on the topic- Similarity of Triangles. Basic proportionality theorem and its converse are important theorems to be studied in this chapter. The next section deals with different criteria that are used to prove the similarity of triangles: AAA similarity criterion AA similarity criterion SSS similarity criterion SAS similarity criterion Several theorems and activities are also given in this section.

Exercise 6. The next section deals with Pythagoras theorem and has an exercise based on the same. In the end, there is an optional exercise that is not from the examination point of view and the summarization of key points is done.

This chapter lays emphasis on how to find the distance between the two points whose coordinates are given, and to find the area of the triangles formed by three given points. Last, but not least students will also learn how to find the coordinates of the points which divide a line segment joining two given points in a given ratio.

In the first section, readers will learn about the distance formula. It is explained in detail with the help of a diagram. Solved examples are given to make the concept more understandable to students. Moving further, section formula is given and a special case of finding the mid-point of the line segment is also explained which is important from the examination point of view.

In the last section, area of a triangle is discussed followed by solved example and exercise. An optional exercise is given at the end of the chapter. After that, the chapter is concluded in 5 points for a quick revision. In this chapter, students will study the trigonometric ratios of the angles.

The discussion of the trigonometric ratios will be restricted to acute angles only. In section 8. Solved examples are given to explain how to find trigonometric ratios and how to prove certain given relations. Table 8. Students must learn these values as they are the most important part of this chapter and are essential to solve the problems. Exercise 8. The next part of the chapter is about trigonometric identities.

Three important identities are highlighted in this section. In the end key points of chapter are discussed. Mathematics NCERT Grade 10, Chapter 9: Some applications of trigonometry - In Class 10 Maths Ch 1 Ex 1.1 Un this chapter students will study about some ways in which trigonometry is used in life around us. Trigonometry is the most ancient subjects studied by scholars all over the world.

In section 9. Various terms are explained in this part of the chapter. This chapter contains only one exercise. This is a vast exercise containing 16 questions. In the first few questions, the height of various objects is unknown and students have to calculate the same. In some questions, the width of the object is to be calculated.

Other questions demand calculation of the distance between two objects. A short summarization of the chapter is done in the end.

The first section discusses the topic- Tangent to a Circle.

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