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# Xam Idea Class 10 Maths Solutions

Xam Idea Class 10 Maths Solutions have been prepared by expert Maths teachers for the benefit of class 10 students. Xam Idea Class 10 solutions for Maths book cover various different topics dealt in the prescribed syllabus for class 10 students. It is easy to understand as our subject matter experts have prepared the solutions keeping in mind the difficulty level. .

Xam Idea Class 10 solutions for Maths provides you with an ample number of new questions and other questions from previous year examinations to give you good practice of all the units of arithmetic, geometry, trigonometry, statistics and algebra. The topics covered in Xam Idea Class 10 Maths book is real numbers, polynomials, pair of linear equations in two variables, quadratic equations, arithmetic progressions, triangles, trigonometric ratios, trigonometric identities, statistics, circles, constructions, some applications of trigonometry, probability, coordinate geometry, areas related to circles and surface areas and volumes.

Solutions of Xam Idea Class 10 Maths are best for effective understanding and revision of the topics explained so that you can ace your Class 10 board exams. They use best methods of solving problem sums and answers all the questions maintaining the logical flow and in a stepwise manner. The answers have been explained with relevant techniques, tips, diagrams, and figures wherever and whenever required for your in-depth conceptual understanding. They have been specifically designed to clear all your doubts instantly and build a solid conceptual foundation.

Class 10

## Xam Idea Class 10 Maths Solutions: Chapter-wise

The topics covered in Xam Idea Class 10 Maths Book are discussed below. The questions asked in this book are of the following types – very short answer questions (VSAQ), short answer questions (SAQ), long answer questions (LAQ), higher-order thinking skills questions (HOTS) and value-based questions (VBQs).

## Xam Idea Class 10 Maths Chapter 1 (Real Numbers) Solutions

Real Numbers chapter of Xam Idea Class 10 Maths you the real numbers and their applications. You also come to know about the divisibility of integers using Euclid’s division algorithm, the fundamental theorem of arithmetic works on multiplication of positive integers. You also come to know about Euclid’s division lemma, multiplication of positive integers, rational & irrational numbers. It also tells you that when a decimal expansion of a rational number is terminating and when it is recurring. This chapter consists of 9 VSAQs, 20 SAQs, 8 LAQs, 3 HOTS and 4 VBQs.

## Xam Idea Class 10 Maths Chapter 2 (Polynomials) Solutions

Polynomials chapter teaches you one of the important topics of algebra. Here you get to know the introduction to polynomials, geometrical meaning of the zeros of a polynomial, relation between coefficients and zeros of a quadratic polynomial and division algorithm for polynomials. Here you find 15 VSAQs, 22 SAQs, 6 LAQs, 3 HOTS and 15 VBQs.

## Xam Idea Class 10 Maths Chapter 3 (Pair of Linear Equations in Two Variables) Solutions

Chapter number 3, Pair of Linear Equations in Two Variables provides an account of the topics related to the linear equations in two variables. This chapter tells you that the equation which can be written in the form ax + by + c = 0, given a, b and c are real numbers, with a and b as non zero entities, is called a linear equation in two variables x and y. A pair of values, one for x and the other for y, gives the solution of such pairs of equations.

Next, you learn about the graphical representation of a pair of linear equations in two variables. Further, you learn about algebraic methods of solving a pair of linear equations as the graphical method is not convenient. Here you also learn about solving with the substitution method, elimination method, and cross multiplication method. You also learn about equations reducible to a pair of linear equation in two variables for solving them. In this chapter 5 VSAQs, 21 SAQs, 11 LAQs, 5 HOTS and 15 VBQs are there for your practice. Our Xam Idea Solutions answer all questions in a stepwise, precise and accurate manner.

## Xam Idea Class 10 Maths Chapter 4 (Quadratic Equations) Solutions

Chapter 4 of Xam Idea Class 10 Maths teaches you everything about quadratic equations like the determination of quadratic equations and formulation of quadratic equations and various ways of finding their roots. You also learn various ways of finding zeros or roots of quadratic equations like factorisation of quadratic equations, method of completing the square and using the quadratic formula. You also learn about the nature of roots, the discriminant of quadratic equations and some applications of quadratic equations in daily life situations. This chapter has 6 VSAQs, 39 SAQs, 20 LAQs, 4 HOTS and 15 VBQs.

## Xam Idea Class 10 Maths Chapter 5 (Arithmetic Progressions) Solutions

This chapter gives you an overview of arithmetic progressions (AP), its definition and related terms. Next, you learn about various methods to determine the nth term of an AP and different techniques to find the sum of the first n given terms of an arithmetic progression. You will also learn how the successive terms are found by adding a fixed number to the preceding terms and how to describe the sequence by writing the algebraic formula for given terms and also to find the sum of the given terms.

Further, this chapter teaches to calculate nth terms and the sum of n consecutive terms and apply the knowledge of all the above concepts to solve problems in daily life. Here you will find 13 VSAQs, 25 SAQs, 4 LAQs, 5 HOTS and 15 VBQs.

## Xam Idea Class 10 Maths Chapter 6 (Coordinate Geometry) Solutions

In Coordinate Geometry chapter, you will learn concepts of coordinate geometry. You will learn the methods of locating the coordinates, determining the distance from a point, calculating the distance between two points, dividing a line segment into two parts, in a given ratio and distance between sides and intersections. You also learn about finding the area between two points whose coordinate values are provided like the area of triangle and rhombus. This chapter teaches you the relation between geometry and numerical, along with their application in our daily lives. In this chapter, you get to solve 10 VSAQs, 28 SAQs, 11 LAQs, 5 HOTS and 2 VBQs.

## Xam Idea Class 10 Maths Chapter 7 (Triangles) Solutions

In this chapter, you learn about different aspects and concepts related to triangles like types of triangles, and how to prove congruency and similarity of triangles based on different criteria. You learn about the similar figures, the similarity of triangles, criteria for similarity of triangles, areas of similar triangles, Pythagoras theorem.

Next, you learn that two polygons of the same number of sides are similar if their corresponding angles are equal and also their corresponding sides are in the same ratio. You also solve questions based on basic proportionality theorem. You also learn about the qualities of the right-angled triangle and solve questions based upon the same. This chapter consists of 6 VSAQs, 36 SAQs, 9 LAQs, 5 HOTS and 2 VBQs.

## Xam Idea Class 10 Maths Chapter 8  (Circles)

You learn in Circles chapter concepts related to properties of circles and tangents to a circle. Further, you learn about tangents, tangents of a circle, number of tangents passing from a given point on the circle. This chapter also teaches you to relate the fact that tangent to a circle is perpendicular to the radius at the position of contact and lengths of the two tangents from an external point to a circle are equal. This chapter has 7 VSAQs, 15 SAQs, 4 LAQs, 4 HOTS and 3 VBQs in its store for your practice.

## Xam Idea Class 10 Maths Chapter 9 (Constructions) Solutions

In this chapter, you learn how to construct geometrical shapes by giving mathematical reasonings behind construction planning. You learn here how to divide a line segment in a particular ratio, how to construct a triangle which is similar to a triangle given already according to the given scale factor and how to construct the tangents to a circle from a point outside it in different steps.

Next, you learn how to draw linear and vertically opposite pair of angles and bisect them all using a ruler and a compass. The involvement of geometrical calculations and diagrams makes the chapter exciting for you. This chapter contains 5 VSAQs, 5 SAQs, 4 LAQs, 3 HOTS and 3 VBQs.

## Xam Idea Class 10 Maths Chapter 10 (Introduction to Trigonometry) Solutions

Chapter 10 introduces you to a very important topic of mathematics, trigonometry, which is a study involving triangles, and in particular, right triangles. In this chapter, you will study some ratios of the sides of a right triangle with respect to its acute angles, called trigonometric ratios of the angle.

You also come to know about the trigonometric ratios for special angles of measure 0° and 90° and establish some identities involving these ratios, called trigonometric identities. So, in this chapter you learn in detail about – trigonometric identities; trigonometric ratios of some specific angles, like 30°, 45°, 60° and 90°; trigonometric ratios of complementary angles; trigonometric identities, identities are true for all values of the variables involved. You will find 6 VSAQs, 23 SAQs, 7 LAQs, 5 HOTS and 4 VBQs.

## Xam Idea Class 10 Maths Chapter11 (Heights and Distances) Solutions

This chapter is the actual application of concepts of trigonometry in real situations. You learn to make an imaginary right angle using the information given in a question and then determine either one of the following or combination of information – the height of the object, hypotenuse of the triangle formed, distance between two objects which is usually the base of the imaginary triangle or length of the horizontal level.

Some questions ask you to determine the angle of elevation or depression. You also learn to imagine two right-angled triangles either lying inside each other, placed back to back or placed opposite to each other to deal with some situations given in problems of this chapter. There are 7 VSAQs, 13 SAQs, 8 LAQs, 5 HOTS and 4 VBQs in this chapter.

## Xam Idea Class 10 Maths Chapter 12 (Areas Related to Circles) Solutions

Here you learn all about calculating circumference and area of circles using the formula when the value of radius or diameter is given. Next, you learn to determine the length or angle of arc subtended on the perimeter of a given circle. You also learn the methods of determination of the areas of major and minor segments given in a circle applying different formulas and you also learn to calculate areas of combined geometrical figures. Here you will get 9 VSAQs, 25 SAQs, 8 LAQs, 5 HOTS and 5 VBQs.

## Xam Idea Class 10 Maths Chapter 13 (Surface Areas and Volumes) Solutions

This chapter teaches you all the concepts about surface areas and volumes of three-dimensional geometrical figures. You learn to determine the surface area and volume of objects constructed by combining any two of the basic solid shapes like; hemisphere, cuboid, cone, cylinder and sphere. You also learn about calculating surface area and volume of the frustum of a right circular cone. This chapter has 8 VSAQs, 24 SAQs, 10 LAQs, 5 HOTS and 5 VBQs.

## Xam Idea Class 10 Maths Chapter 14 (Statistics) Solutions

This chapter teaches you about statistics, which is the branch of mathematics dealing with the representation of data in a meaningful way. You learn all about the direct calculation of mean, assumed mean and calculation of mean with step-deviation methods. Further, you learn about the median calculation with class intervals, types of cumulative frequency distribution, graphical representation of the median, estimating mode from a set of grouped data, ungrouped data, finding mode without class intervals, graphical representation of mode, and calculation of central tendency. This chapter consists of 9 VSAQs, 9 SAQs, 9 LAQs, 2 HOTS and 8 VBQs.

## Xam Idea Class 10 Maths Chapter 15 (Probability) Solutions

Probability chapter aims at teaching you the theoretical approach to the concept of probability and difference between experimental probability and theoretical probability. Next, you learn why the probability of a sure or certain event is 1; how the probability of an event which is impossible is 0. You also learn to find the probability of different events.

You will also learn all about random experiments, events, the possible outcome of an event, elementary and complementary events and compound events. Our Xam Idea Class 10 Maths solutions are the best study material for this topic. It is easy to score marks in the questions from this chapter once you master the methods and the ideas of solving questions. Here you get to solve 13 VSAQs, 19 SAQs, 9 LAQs, 4 HOTS and 8 VBQs.