 # NCERT Exemplar Class 12 Maths

## The NCERT Exemplar Class 12 Maths PDF

NCERT Exemplar Class 12 Maths Solutions and problems are given here to help students prepare well for the board exam. These exemplar questions are more advanced and consist of different types of topics explained in every chapter of the Class 12 Maths subject. Students can download the PDF of these exemplar problems and solutions for Class 12 Maths chapter-wise, available here at BYJU’S.

By practising NCERT Exemplar for Maths Class 12, students will get a thorough knowledge of all the concepts contained in each chapter. Each question in these materials is related to the topics included in the Class 12 CBSE syllabus (2023-2024) and is designed by our experts to provide the best solutions to the problems in which students face difficulties to solve. All these questions resemble the question pattern available in NCERT books to match the concepts taught in each class and provide the best practice materials or worksheets for students.

## Class 12 Maths NCERT Exemplar Problems

Students can refer to our notes and question papers while preparing for the board exam. The sample papers and previous years’ question papers also help Class 12 students to understand the question pattern asked in the exam.

The Maths exemplar for Class 12 questions is important for students, as it helps them to get acquainted with the different questions and, thus, develop their problem-solving abilities. Students can download the NCERT Maths exemplar for Class 12 PDF for the questions and get the solutions from the below-given links.

Class 12 Maths NCERT Exemplar Chapter 1 Relations and Functions

In this chapter, you will learn about relations and functions in terms of Mathematics. Also, there are types of relations and functions on the basis of which you are going to solve problems. Apart from these, you will learn the composition of functions, invertible functions and binary operations.

Class 12 Maths NCERT Exemplar Chapter 2 Inverse Trigonometric Functions

This chapter will make you understand the concepts related to inverse trigonometry functions and their properties. Also, you will learn here the restrictions on ranges and domains of trigonometric functions, and they will also record their behaviour via graphical representations.

Class 12 Maths NCERT Exemplar Chapter 3 Matrices

The topics covered in this chapter are the introduction to the matrix and its order, their types, properties, operations performed on matrices, multiplication of two matrices, what are symmetric and skew-symmetric matrices, the transpose of the matrix, invertible matrix, etc.

Class 12 Maths NCERT Exemplar Chapter 4 Determinants

Chapter 4 of Maths Class 12 covers topics such as introduction to determinants, a determinant matrix of order one, two and three, properties of the determinant, minors and cofactor, adjoint and the inverse of a matrix, applications of matrices and solution of the system of linear equations using the inverse of a matrix.

Class 12 Maths NCERT Exemplar Chapter 5 Continuity and Differentiability

In Chapter 5, you will learn about continuity, differentiability, algebra of continuous functions, derivatives of composite functions, implicit functions and inverse trigonometric functions, exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second-order derivative and mean value theorem.

Class 12 Maths NCERT Exemplar Chapter 6 Application of Derivatives

In Chapter 6 of Class 12 Maths, you will find exemplar problems of derivatives based on the rate of change of quantitative, increasing and decreasing functions, tangents and normals, approximation, maxima and minima and maximum and minimum values of a function in a closed interval.

Class 12 Maths NCERT Exemplar Chapter 7 Integrals

Chapter 7 has exemplar problems based on topics like integration, geometrical representation, properties of integrals, the comparison between differentiation and integration, different methods of integration, definite integral as the limit of a sum, properties of definite integrals, etc.

Class 12 Maths NCERT Exemplar Chapter 8 Application of Integrals

Here, students will learn the application of integrals with the method of finding the area under simple curves, the area of the region bounded by a curve and a line and area between two curves.

Class 12 Maths NCERT Exemplar Chapter 9 Differential Equations

Chapter 9 will explain concepts of differential equations, such as degree and order of differential equations, to form a differential equation that will represent a given family of curves, how to solve first order and first degree by differential equations methods, differential equations with variables separable, homogeneous differential equations and linear differential equations.

Class 12 Maths NCERT Exemplar Chapter 10 Vector Algebra

You will learn the introduction to vectors, their types, addition and multiplication performed on vectors, components of the vector, section formula, scalar product, projection of a vector on a line and vector product in this chapter.

Class 12 Maths NCERT Exemplar Chapter 11 Three-Dimensional Geometry

Three-Dimensional Geometry chapter has exemplar questions based on the direction cosines and ratios of a line, the relation between the direction cosines of a line, the direction cosines of a line passing through two points, the angle between two lines, the equation of a plane perpendicular to a given vector and passing via a given point equation of a plane in normal form coplanarity of two lines, etc.

Class 12 Maths NCERT Exemplar Chapter 12 Linear Programming

Students in Class 12 will get to solve exemplars for Chapter 12 based on topics like linear programming problems and their mathematical formulation, the mathematical formulation of the problem, the graphical method of solving linear programming problems, and different types of linear programming problems – manufacturing problem, diet problems, and transportation problem.

Class 12 Maths NCERT Exemplar Chapter 13 Probability

Chapter 13 will have exemplar problems based on conditional probability and its properties, the multiplication theorem on probability independent events, Bayes’ theorem, the partition of a sample space, the theorem of total probability, random variables and probability distributions, mean and variance of a random variable and Bernoulli trials and binomial distribution.

Before solving the NCERT Exemplar problems, it is important for students to go through the Maths Class 12 syllabus, as NCERT Exemplar Questions require in-depth conceptual knowledge from each chapter. Class 12 Maths Exemplar Solutions given above can help students to clear their doubts and prepare themselves for the exam in a better way. NCERT Exemplar Class 12 questions not only help with board exam preparation but also for competitive exams like JEE.

Download BYJU’S – The Learning App to enjoy your studies with the help of learning videos and interesting content for Class 12 Maths containing diagrams in them, explaining Maths concepts and principles in a more effective way.

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