NCERT Exemplar Solutions for Class 12 Maths – Free PDF Download
Class 12 maths NCERT exemplar are the most important among all the classes because of the usability of maths class 12 NCERT exemplar in board as well as competitive exams. NCERT exemplar class 12 maths book contains all the topics and a variety of questions covering all the concepts.
Solving these questions make the concepts of students more stronger and they are able solve high order thinking skill questions easily. Class 12 maths NCERT exemplar also has multiple choice questions which helps the students prepare for competitive exams at the same time.
Our experts have prepared NCERT exemplar class 12 maths solutions pdf to help students whenever they are stuck on a particular question. This can maintain the students flow and make them understand the concepts deeply. We have given a option for NCERT exemplar class 12 maths solutions free download here.
Chapterwise NCERT Exemplar Problem Solutions
- Chapter 1 – Relations And Functions
- Chapter 2 – Inverse Trigonometric Functions
- Chapter 3 – Matrices
- Chapter 4 – Determinants
- Chapter 5 – Continuity And Differentiability
- Chapter 6 – Application Of Derivatives
- Chapter 7 – Integrals
- Chapter 8 – Application Of Integrals
- Chapter 9 – Differential Equations
- Chapter 10 – Vector Algebra
- Chapter 11 – Three Dimensional Geometry
- Chapter 12 – Linear Programming
- Chapter 13 – Probability
Chapter 1- Relation and Functions
This chapter is a basic chapter whose concept is used in various other questions. This chapter in NCERT exemplar contains questions based on types of relations and functions. Also questions based on composition of functions, binary operations and invertible function.
Chapter 2- Inverse trigonometric functions
This chapter covers topics which will clear your concepts related to inverse trigonometric functions. You will learn about the ranges and domain of all the trigonometric functions. You will also learn the graphical representation of various trigonometric functions.
Chapter 3- Matrices
NCERT Exemplar questions in this chapter are based on topics- introduction to the matrix and its order, properties and types of matrix, operations performed in matrices, transpose of matrix, invertible matrix, concepts of symmetric matrices, multiplication of two matrices, etc.
Chapter 4- Determinants
This is an easy chapter and if one prepares this chapter with NCERT exemplar book. They will learn topics like introduction to determinants, finding determinant of various order of matrices, adjoint and inverse of matrix, minors and cofactors, properties of the determinant, solution of system of linear equations using the inverse of matrix.
Chapter 5- Continuity and Differentiability
In chapter 5, students 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.
Chapter 6 – Application of Derivatives
In this chapter of NCERT exemplar class 12 Maths you will learn problems of derivatives based on the rate of change of quantity, increasing and decreasing functions, finding tangents and normal, approximation, maxima and minima, Maximum and Minimum Values of a Function in a Closed Interval.
Chapter 7 – Integrals
NCERT Exemplar class 12 maths pdf download for problems based on the topics like Integration, geometrical representation, properties of integrals, comparison between differentiation and integration, different methods of integration, definite integral as the limit of a sum, properties of definite integral, etc., is given on our website with solutions.
Chapter 8 – Application of Integrals
Students will learn here 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.
Chapter 9 – Differential Equations
It explains 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.
Chapter 10 – Vector Algebra
You will learn here, introduction to vectors, its 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.
Chapter 11 – Three Dimensional Geometry
Three Dimensional Geometry chapter will have exemplar questions based on direction cosines and ratios of a line, relation between the direction cosines of a line, direction cosines of a line passing through two points, 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.
Chapter 12 – Linear Programming
Exemplars for chapter 12 are based on topics like linear programming problem and its mathematical formulation, mathematical formulation of the problem, graphical method of solving linear programming problems, different types of linear programming problems – manufacturing problem, diet problems, transportation problem etc.
Chapter 13 – Probability
Chapter 13 contains of exemplar problems based on conditional probability and its properties, multiplication theorem on probability independent events, Bayes’ theorem, the partition of a sample space, the theorem of total probability, random variables and probability distributions, probability distribution, mean and variance of a random variable and Bernoulli Trials and Binomial Distribution.
Before solving the NCERT exemplar problems, it is important for the students to go through the maths class 12 syllabus, as the NCERT exemplar questions require the in-depth conceptual knowledge from each chapter. The NCERT exemplar class 12 maths solutions pdf given here can help the students to clear their doubts and prepare themselves for the exam in a better way. The NCERT exemplar class 12 maths pdf download questions not only helps for board exam preparation but also for different competitive exams like JEE. You can download it by clicking the NCERT exemplar class 12 maths solutions pdf free download.
Why Mathongo Solutions are Best?
Our main aim is to make education affordable for everyone. And in order to prove that we provide free of cost NCERT exemplar solutions in PDF format so that every student who needs it can download in one click. We try not to make study a burden on anyone’s pocket as much as possible.
Our highly qualified subject experts have created this solutions after hours of research and putting in their experience to make the most beneficial for the students. Whoever visits us should get satisfied with the solutions is the main objective of our team.
The solutions are so provided in step by step process for easy understanding and are written in the pattern followed in board exams. Correct usage of formulas and appropriate reason for each and every steps make our solutions more understandable. We provide the best solutions a student can get. Mathongo is always with students and striving hard to prepare quality content for students. We are trying to take the fear of mathematics away from students and help them understand the real fun of mathematics.