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# Xam Idea Class 9 Maths Solutions

Xam Idea Class 9 Maths Solutions have been written by the subject matter experts after extensive research to approach the similar types of problems with complete and easy explanation. Xam Idea Class 9 Maths Book covers all the topics of Class 9 Maths Syllabus in a comprehensive manner. The concepts covered here include the number systems, exponents of real numbers, rationalisation, polynomials, coordinate geometry, lines and angles, triangles, quadrilaterals, circles, constructions, Heron’s formula, statistics, probability etc.

Xam Idea solutions for Class 9 Maths provides you with useful tips and techniques to solve problems so that you can score good marks in CBSE Class 9 exams and class tests. These are the best study material for the effective understanding of concepts taught and their revision during exams.

Our Xam Idea Class 9 Solutions are written in easy steps so that you can effectively learn and understand them. The detailed explanation for every problem helps you to develop problem-solving skills and learn the concepts explained more efficiently. The questions are solved with the easiest methods and figures and diagrams are also given to help you visualise the questions and solutions. Our solutions help you gain an in-depth understanding of the concepts and help you in preparing for future higher-level studies.

Class 9

## Xam Idea Class 9 Maths Solutions: Chapter-wise

The topics covered in Xam Idea Class 9 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 9 Maths Chapter 1 (Real Numbers) Solutions

Class 9 Real Numbers chapter discusses whole numbers, integers, rational numbers and irrational numbers. You also learn the extended version of the number line and how to represent it. Further, you learn about the representation of terminating/non-terminating recurring decimals, successive magnification method, presenting square roots of 2, 3 and other irrational numbers on a given number line. The chapter also tells about laws of integral powers and rational exponents with positive real bases in number systems. This chapter consists of 9 VSAQs, 39 SAQs, 5 LAQs, 3 HOTS and 7 VBQs.  Our Xam Idea Class 9 Solutions answer all questions simply, accurately and precisely.

## Xam Idea Class 9 Maths Chapter 2 (Polynomials) Solutions

Polynomials chapter of Xam Idea Class 9 Maths Solutions tells you about a particular type of algebraic expression called polynomial and terminologies related to it. You learn here that polynomial is an expression which has variables and coefficients and it involves the operations of subtraction, addition, multiplication, and non-negative integer exponents of variables.

The chapter also teaches you the remainder theorem and the factor theorem for performing factorisation of polynomials. You also get to know the definition of different terms like polynomial, degrees, coefficient, zeros and terms of a polynomial. Here you come across 10 VSAQs, 46 SAQs, 7 LAQs, 4 HOTS and 2 VBQs.

## Xam Idea Class 9 Maths Chapter 3 (Linear Equations in Two Variables) Solutions

Chapter 3 tells you about linear equations and the methods of their solution. Next, you learn how to plot a graph of a linear equation in two variables and how every point on the line AB gives a solution x = a, y = b of the equation.

You also learn that a point which does not lie on the line AB, is not a solution of the given equation. Next, you learn about equations of lines parallel to the x-axis and y-axis and the equation y = mx represents a line passing through the origin. This chapter consists of 30 VSAQs, 26 SAQs, 10 LAQs, 3 HOTS and 2 VBQs.

## Xam Idea Class 9 Maths Chapter 4 (Coordinate Geometry) Solutions

Coordinate Geometry chapter of Xam Idea Class 9 Maths book is about coordinate geometry, and it teaches you the concepts of the cartesian plane, coordinates of a point in the x-y plane, terms, notations associated with the coordinate plane, including the x-axis, y-axis, x- coordinate, y-coordinate, origin and quadrants. You will also study the concepts of abscissa and ordinates of a point, and plotting and naming a point in the x-y plane. You will find 8 VSAQs, 11 SAQs, 3 LAQs, 2 HOTS and 4 VBQs.

## Xam Idea Class 9 Maths Chapter 5 (Introduction to Euclid’s geometry) Solutions

This chapter on Euclid’s geometry covers knowledge about properties of common geometrical shapes and terms, point and lines, parallel lines, intersecting lines, line segment, interior point of a line segment, congruence of line segments, length axioms of a line segment and distance between two points. Further, you will learn to link Euclid’s approach to geometry to the present-day geometry. This chapter has 5 VSAQs, 14 SAQs, 2 LAQs, 3 HOTS and 11 VBQs for the purpose of practice.

## Xam Idea Class 9 Maths Chapter 6 (Lines and Angles) Solutions

In the 6th chapter of Xam Idea Class 9 Maths Solutions, you learn about definitions, basic terms, and symbols about line and angles, the intersecting and non-intersecting or parallel lines; linear pair of angles and axioms and theorems related to it. You also learn about parallel lines and transversal followed by the interior and exterior angles made by the intersection and the related axioms and theorems. This chapter has 5 VSAQs, 22 SAQs, 7 LAQs, 4 HOTS and 11 VBQs. Solving these questions help you strengthen your concepts.

## Xam Idea Class 9 Maths Chapter 7 (Triangles) Solutions

In the Triangles chapter, you study in detail about the congruency in triangles, rules for establishing congruency, inequalities in triangles, properties of triangles and the chapter also tells you how to use the various congruence rules for solving the problems. You will get 20 VSAQs, 27 SAQs, 12 LAQs, 3 HOTS and 3 VBQs for practice.

## Xam Idea Class 9 Maths Chapter 8 (Quadrilaterals) Solutions

Quadrilaterals chapter of Xam Idea Class 9 Maths Solutions teaches you that a figure made by joining four points in order is called a quadrilateral. Further, you learn about the angle sum property of a quadrilateral, types of quadrilaterals, properties of a parallelogram, and the mid-point theorem. Further, you learn about several theorems related to the properties of a parallelogram. You also learn that a quadrilateral is a parallelogram if a pair of opposite sides are equal and parallel. This chapter consists of 23 VSAQs, 27 SAQs, 12 LAQs, 3 HOTS and 11 VBQs.

## Xam Idea Class 9 Maths Chapter 9 (Areas of Parallelograms and Triangles) Solutions

Chapter 9 imparts the knowledge about several rules and theorems for finding the areas of different geometric figures, by studying relationships between the areas of those figures provided, they lie on the same base and between the same parallels. You also come to know about the similarity of a triangle and some area axioms. This chapter consists of 6 VSAQs, 19 SAQs, 3 LAQs, 4 HOTS and 10 VBQs. Our Xam Idea Class 9 Maths Chapter helps you learn faster and more effectively during your CBSE exams.

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

Circles of Xam Idea Class 9 Maths book teaches you about the important topic of circles, and here you come to know about the definition of a circle and other terms like circumference, segments, sector, chord and semicircle. Next, you learn about equal chords and their distances from the centre, the angle subtended by an arc of a circle, cyclic quadrilaterals and congruence of circles and arcs. You also learn theorems related to the angle subtended by a chord at a point; perpendicular from the centre to a chord. This chapter has 8 VSAQs, 36 SAQs, 8 LAQs, 3 HOTS and 11 VBQs.

## Xam Idea Class 9 Maths Chapter 11 (Constructions) Solutions

In this chapter, you learn about some basic constructions like the construction of the bisector of a line segment; bisector of a given angle; triangles when different parameters are given. Here you learn to construct all this using only a compass and a ruler and without using protractors. There are 4 VSAQs, 14 SAQs, 5 LAQs, 1 HOTS and 11 VBQs in this chapter.

## Xam Idea Class 9 Maths Chapter 12 (Heron’s Formula) Solutions

The chapter 12 of Xam Idea Class 9 Maths Solutions introduces you to Heron’s formula, which can be used to calculate the area of any triangle for which the length of all the three sides is given. This method does not ask you to calculate the angles or other measurements in the triangle. This formula is used not only to find the area of triangles but also to determine the areas of other quadrilaterals and polygons by considering them as a combination of triangles. You will get to solve 7 VSAQs, 17 SAQs, 10 LAQs, 4 HOTS and 7 VBQs in this chapter.

## Xam Idea Class 9 Maths Chapter 13 (Surface Areas and Volumes) Solutions

Chapter 13 deals with an important portion of geometry. Here you learn that the volume of a cuboid is obtained by the multiplying length, height and width of the cuboid and the total surface area of a cuboid is calculated by the sum of the areas of its six faces given by length × width + width × length + height × length). This chapter also teaches you that the surface area and volume of a cube (in terms of its side length) are given by the formulas – 6(Side)2 and (Side)3 respectively. You also learn to find surface areas of solid objects like cubes, cuboids, spheres, cylinders, cones, and hemispheres. This chapter contains 12 VSAQs, 24 SAQs, 17 LAQs, 5 HOTS and 7 VBQs.

## Xam Idea Class 9 Maths Chapter 14 (Statistics) Solutions

Statistics chapter of Xam Idea Class 9 Maths, you learn regarding the graphical representation of data in the form of bar graph and histogram and frequency polygons which is a better way to represent and analyse data. The chapter teaches about the different presentation of the data, including the frequency distribution. Further, you learn about the measure of central tendency mean, median and mode of the raw data. The measure of central tendency is used to signify a group of data by a single value representative of central location. There are 11 VSAQs, 14 SAQs, 8 LAQs, 4 HOTS and 6 VBQs.

## Xam Idea Class 9 Maths Chapter 15 (Probability) Solutions

Probability chapter first introduces you to the concept of probability which is a measure of the possibility that an event will occur and various approaches to it. The chances of occurrence of an event are known as probability. Further, you learn about an experimental or empirical approach to probability and some important terms: trial, elementary event and compound event. This chapter consists of 7 VSAQs, 17 SAQs, 3 HOTS and 6 VBQs. Our Xam Idea Class 9 Maths Solutions clear all your conceptual doubts instantly and give you a good amount of practice to develop a sound conceptual base.