# Xam Idea Class 12 Maths Solutions

Xam Idea Class 12 Maths Solutions provides a firm conceptual base for all the topics included in Class 12 Maths syllabus. Xam Idea Class 12 Maths Book covers all the topics in the CBSE syllabus for CBSE Class 12 Maths. Some of the significant concepts covered in Xam Idea book for Class 12th Maths include relations and functions inverse trigonometric functions algebra of matrices determinants, adjoints and the inverse of a matrix, applications of derivatives, integrals, applications of integrals, continuity and differentiability, differential equations, three-dimensional geometry, vector algebra, linear programming and probability.

Xam Idea Solutions for Class 12 Maths encompasses all the relevant theorems and formulae with detailed explanations to inculcate a better understanding in your mind. Our Solutions will help you in the preparation of CBSE Class 12 board exams and other undergraduate-level entrance exams. We bring you the best solutions of Xam Idea Class 12 Maths, which is designed by our subject experts to facilitate effective learning.

Our Xam Idea Class 12 Solutions of Maths are easy to understand and follow as these are written in simple language. You can easily practice and revise concepts during examinations. It provides all the necessary concepts and formulae in a proper sequence. It also contains important tips which are useful for answering typical questions accurately. By referring to our Xam Idea Solutions of Class 12 Maths, it is highly likely that you will perform very well in the exam.

## Xam Idea Class 12 Maths Solutions: Chapter-wise

The main components of the chapters and the concepts covered in these are discussed in detail here. The questions asked in Xam Idea Class 12 Maths book are of three types; very short answer questions (VSAQ), short answer questions (SAQ), and long answer questions (LAQ). Our Xam Idea Class 12 Solutions for Maths have detailed step-by-step explanations of all the questions. The chapter-wise details are given below –

## Xam Idea Class 12 Maths Chapter 1 (Relations and Functions) Solutions

Chapter 1 of Xam Idea Class 12 Maths teaches you relations and functions, different types of relations, the types of functions, the composition of these functions and invertible functions. You also learn about binary operations. This chapter has 6 VSAQs, 7 SAQs and 5 LAQs. The solutions answer all questions appropriately and accurately.

## Xam Idea Class 12 Maths Chapter 2 (Inverse Trigonometric Functions) Solutions

In chapter 2 of Xam Idea Class 12 Maths book, you learn about inverse trigonometric functions, all the basic concepts of inverse trigonometric functions and properties of inverse trigonometric functions. This chapter has 5 VSAQs, 11 SAQs and 43 LAQs. Our solutions cover all concepts of the chapter and answer all questions in detail.

## Xam Idea Class 12 Maths Chapter 3 (Algebra of Matrices) Solutions

In this chapter, you come to know about the definition of a matrix, types of matrices, equality of matrices. Further, you learn to perform operations on matrices such as the addition of matrices and multiplication of a matrix by a scalar. Next, you learn the properties of scalar multiplication properties of matrix addition, multiplication of matrices and its properties, transpose of a matrix, properties of the transpose of the matrix, symmetric and skew-symmetric matrices. You also get to know about the elementary operation, also known as transformation of a matrix, inverse of a matrix by elementary operations. This chapter has 24 VSAQs, 12 SAQs and 14 LAQs.

## Xam Idea Class 12 Maths Chapter 4 (Determinants)

Determinants chapter of Xam Idea Class 12 Maths Solutions teaches the topic of determinants. You learn about the definition and meaning of determinants, order of determinants and properties of determinants. You also get to know the methods of finding the area of a triangle using determinants, minors and cofactors of determinants. Finally, you learn about applications of determinants and matrices. This chapter has 21 VSAQs, 10 SAQs and 37 LAQs.

## Xam Idea Class 12 Maths Chapter 5 (Adjoints and Inverse of a matrix) Solutions

This chapter teaches you about adjoint of a matrix and inverse of a matrix. Further, you learn about invertible matrices and how to find the inverse of a matrix by elementary operations. This chapter has 7 VSAQs, 6 SAQs and 13 LAQs. Xam Idea Class 12 Solutions answer all questions of this chapter in an easy to understand language and accurately.

## Xam Idea Class 12 Maths Chapter 6 (Continuity and Differentiability) Solutions

In this chapter Xam Idea Class 12 Maths Book you come to learn the definition of continuity first. Then properties of continuity, algebra of continuous function. Further, you learn about definition and meaning of differentiability, derivative of implicit functions, the derivative of inverse trigonometric functions, derivatives of composite functions, exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second-order derivatives and mean value theorem. This chapter has 16 VSAQs, 53 SAQs and 21 LAQs.

## Xam Idea Class 12 Maths Chapter 7 (Applications of Derivatives) Solutions

Chapter 7 of Xam Idea Class 12 Maths teaches you the definition of derivatives, about the rate of change of quantities, increasing functions and decreasing functions, normals and tangents, approximations, maxima and minima, first derivative test. Further, you learn about the maximum and minimum values of a function in a closed interval. This chapter has 5 VSAQs, 13 SAQs and 47 LAQs.

## Xam Idea Class 12 Maths Chapter 8 (Integrals)

In Integrals chapter, you first learn to define the indefinite integral, integration as an inverse process of differentiation, geometrical interpretation of indefinite integral. Next, you learn about the properties of indefinite integral and comparison between differentiation and integration. Next, you understand all the methods of integration like integration by substitution, integration using partial fractions, integration using trigonometric identities and integration by parts.

You also learn definition and meaning of definite integrals, integration of some integral functions, fundamental theorem of calculus, determination of definite integrals by substitution, definite integral as the limit of a sum, and other properties of definite integrals. This chapter has 16 VSAQs, 9 SAQs and 73 LAQs.

## Xam Idea Class 12 Maths Chapter 9 (Applications of Integrals) Solutions

This 9th chapter of Xam Idea Class 12 Maths Solutions defines integrals first, then tells about the area of the region bounded by a curve and a linear under simple curves and area between two curves. This chapter 35 LAQs. Xam Idea Solutions for Class 12th Maths covers all concepts of the chapter and answers all the questions exhaustively yet precisely.

## Xam Idea Class 12 Maths Chapter 10 (Differential Equations) Solutions

This chapter first tells you the definition of differential equations and basic concepts related to the differential equations. Further, you learn about the degree and order of a differential equation, general and particular solutions of a differential equation. Next, you learn to form a differential equation whose general solution is given and a method of forming a differential equation representing a given family of curves.

You also learn methods of solving first order, first-degree differential equations, homogeneous differential equations, differential equations with variable separable, linear differential equations and procedure involved to solve first-order linear differential equations. This chapter has 10 VSAQs, 7 SAQs and 48 LAQs.

## Xam Idea Class 12 Maths Chapter 11 (Vector Algebra) Solutions

Vector Algebra of Xam Idea Class 12th Maths introduces you to the topic of vector algebra. You learn how to find a position vector, some basic concepts related to vector algebra and direction cosines. Further, you learn types of vectors such as zero, unit, collinear, and equal vector. You also learn about doing operations like negative of a vector, addition of vectors, and properties of vector addition. You also learn to multiply a vector by a scalar.

Further, you learn the components of a vector, vector joining two points, section formula, the product of any two vectors, scalar or dot product of two vectors, properties of scalar product, projection of a vector on a line and vector or cross product of two vectors. This chapter has 23 VSAQs, 13 SAQs and 47 LAQs.

## Xam Idea Class 12 Maths Chapter 12 (Three-dimensional Geometry) Solutions

Xam Idea Class 12 Three-dimensional Geometry teaches you direction cosines and ratios of a line, the relation between the direction cosines of a line, equation of a line in space, direction cosines of a line passing through two points, equation of a line through a given point and parallel to a given vector. Further, you learn about the derivation of cartesian form vector form, equation of a line passing through two given points, the angle between two lines, the shortest distance between two lines, the distance between two skew lines, the distance between two parallel lines.

Next, you learn about the plane in cartesian form, equation of a plane perpendicular to a given vector and passing through a given point, equation of a plane in a normal form, equation of a plane passing covering three non-collinear points, equation of a plane in intercept form, coplanarity of two lines, a plane passing through the intersection of two given planes, the angle between any two planes, the distance of a point from a plane and angle between a line and a plane. This chapter has 20 VSAQs, 5 SAQs and 61 LAQs.

## Xam Idea Class 12 Maths Chapter 13 (Linear Programming) Solutions

This chapter is about linear programming. First, you learn about linear programming problems and its mathematical formulation, next, you learn mathematical formulation of the problem, solving linear programming problems by graphical methods and different types of linear programming problems. This chapter has 4 VSAQs and 18 LAQs.

## Xam Idea Class 12 Maths Chapter 14 (Probability) Solutions

Probability chapter of Xam Idea Class 12 Maths Solutions teaches you a very important chapter of probability. The advanced concepts mentioned in this chapter are conditional probability and properties of conditional probability. Further, you learn about multiplication theorem on probability, multiplication rule of probability for more than two events, independent events.

You also learn about Baye’s theorem, the partition of a sample space, a theorem on total probability, random variables and its probability distributions, mean of random variable and variance of a random variable. Next, you learn Bernoulli trials and the binomial distribution. This chapter has 8 VSAQs, 8 SAQs and 60 LAQs.