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NCERT Exemplar Solutions for Mathematics [English] Class 12

CBSE Class 12 Maths Solutions Guide

Shaalaa.com provides the CBSE Class 12 Maths Solutions Digest. Shaalaa is undoubtedly a site that most of your classmates are using to perform well in exams.

You can solve the Class 12 Maths Book Solutions CBSE textbook questions by using Shaalaa.com to verify your answers, which will help you practise better and become more confident.


CBSE Class 12 Maths Textbook Solutions

Questions and answers for the Class 12 Maths Textbook are on this page. NCERT Exemplar Solutions for Class 12 Maths Digest CBSE will help students understand the concepts better.


NCERT Exemplar Solutions for Class 12 Maths Chapterwise List | Class 12 Maths Digest

The answers to the NCERT Exemplar books are the best study material for students. Listed below are the chapter-wise NCERT Exemplar Maths Class 12 Solutions CBSE.


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NCERT Exemplar Solutions for Mathematics [English] Class 12 - Shaalaa.com
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NCERT Exemplar Class 12 solutions for other subjects

We also provide solutions for other subjects to help you top the exams. These NCERT Exemplar solutions are curated with respect to the exam pattern and old papers. Find the best questions and solutions here. Click now to access it.

Chapters covered in NCERT Exemplar Solutions for Mathematics [English] Class 12

NCERT Exemplar Solutions for Class 12 Mathematics 1: Relations And Functions

Concepts covered in Relations And Functions are Composition of Functions and Invertible Function, Concept of Binary Operations, Introduction of Relations and Functions, Inverse of a Function, Types of Functions, Types of Relations.

NCERT Exemplar Class 12 Mathematics 1: Relations And Functions exercises

ExerciseNo. of questionsPages
Solved Examples373 to 11
Exercise8411 to 17

NCERT Exemplar Solutions for Class 12 Mathematics 2: Inverse Trigonometric Functions

Concepts covered in Inverse Trigonometric Functions are Graphs of Inverse Trigonometric Functions, Inverse Trigonometric Functions, Inverse Trigonometric Functions - Principal Value Branch, Inverse Trigonometric Functions (Simplification and Examples), Properties of Inverse Trigonometric Functions.

NCERT Exemplar Class 12 Mathematics 2: Inverse Trigonometric Functions exercises

ExerciseNo. of questionsPages
Solved Examples4120 to 35
Exercise5535 to 41

NCERT Exemplar Solutions for Class 12 Mathematics 3: Matrices

Concepts covered in Matrices are Addition of Matrices, Elementary Transformations, Equality of Matrices, Introduction of Matrices, Introduction of Operations on Matrices, Inverse of a Matrix by Elementary Transformation, Invertible Matrices, Matrices Notation, Multiplication of a Matrix by a Scalar, Multiplication of Matrices, Multiplication of Two Matrices, Negative of Matrix, Order of a Matrix, Proof of the Uniqueness of Inverse, Properties of Matrix Addition, Properties of Multiplication of Matrices, Properties of Scalar Multiplication of a Matrix, Properties of Transpose of the Matrices, Subtraction of Matrices, Symmetric and Skew Symmetric Matrices, Transpose of a Matrix, Types of Matrices.

NCERT Exemplar Class 12 Mathematics 3: Matrices exercises

ExerciseNo. of questionsPages
Solved Examples1946 to 52
Exercise12452 to 64

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NCERT Exemplar Solutions for Class 12 Mathematics 4: Determinants

Concepts covered in Determinants are Applications of Determinants and Matrices, Area of a Triangle, Determinant of a Matrix of Order 3 × 3, Determinant of a Square Matrix, Determinants of Matrix of Order One and Two, Elementary Transformations, Introduction of Determinant, Inverse of a Square Matrix by the Adjoint Method, Minors and Co-factors, Properties of Determinants, Rule A=KB.

NCERT Exemplar Class 12 Mathematics 4: Determinants exercises

ExerciseNo. of questionsPages
Solved Examples1869 to 77
Exercise5877 to 85

NCERT Exemplar Solutions for Class 12 Mathematics 5: Continuity And Differentiability

Concepts covered in Continuity And Differentiability are Algebra of Continuous Functions, Concept of Continuity, Concept of Differentiability, Continuous Function of Point, Derivative - Exponential and Log, Derivatives of Composite Functions - Chain Rule, Derivatives of Functions in Parametric Forms, Derivatives of Implicit Functions, Derivatives of Inverse Trigonometric Functions, Exponential and Logarithmic Functions, Higher Order Derivative, Infinite Series, Logarithmic Differentiation, Mean Value Theorem, Proof Derivative X^n Sin Cos Tan, Second Order Derivative.

NCERT Exemplar Class 12 Mathematics 5: Continuity And Differentiability exercises

ExerciseNo. of questionsPages
Solved Examples4691 to 107
Exercise107107 to 116

NCERT Exemplar Solutions for Class 12 Mathematics 6: Application Of Derivatives

Concepts covered in Application Of Derivatives are Approximations, Graph of Maxima and Minima, Increasing and Decreasing Functions, Introduction to Applications of Derivatives, Maxima and Minima, Maximum and Minimum Values of a Function in a Closed Interval, Rate of Change of Bodies or Quantities, Simple Problems on Applications of Derivatives, Tangents and Normals.

NCERT Exemplar Class 12 Mathematics 6: Application Of Derivatives exercises

ExerciseNo. of questionsPages
Solved Examples29119 to 135
Exercise64135 to 142

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NCERT Exemplar Solutions for Class 12 Mathematics 7: Integrals

Concepts covered in Integrals are Comparison Between Differentiation and Integration, Definite Integral as the Limit of a Sum, Definite Integrals, Evaluation of Definite Integrals by Substitution, Evaluation of Simple Integrals of the Following Types and Problems, Fundamental Theorem of Calculus, Geometrical Interpretation of Indefinite Integrals, Indefinite Integral by Inspection, Indefinite Integral Problems, Integrals of Some Particular Functions, Integration as an Inverse Process of Differentiation, Integration Using Trigonometric Identities, Introduction of Integrals, Methods of Integration: Integration by Parts, Methods of Integration: Integration by Substitution, Methods of Integration: Integration Using Partial Fractions, Properties of Definite Integrals, Some Properties of Indefinite Integral.

NCERT Exemplar Class 12 Mathematics 7: Integrals exercises

ExerciseNo. of questionsPages
Solved Examples32146 to 163
Exercise63163 to 169

NCERT Exemplar Solutions for Class 12 Mathematics 8: Application Of Integrals

Concepts covered in Application Of Integrals are Area Between Two Curves, Area of the Region Bounded by a Curve and a Line, Area Under Simple Curves.

NCERT Exemplar Class 12 Mathematics 8: Application Of Integrals exercises

ExerciseNo. of questionsPages
Solved Examples14170 to 176
Exercise34176 to 178

NCERT Exemplar Solutions for Class 12 Mathematics 9: Differential Equations

Concepts covered in Differential Equations are Differential Equations, Differential Equations with Variables Separable Method, Formation of a Differential Equation Whose General Solution is Given, General and Particular Solutions of a Differential Equation, Homogeneous Differential Equations, Linear Differential Equations, Order and Degree of a Differential Equation, Procedure to Form a Differential Equation that Will Represent a Given Family of Curves, Solutions of Linear Differential Equation.

NCERT Exemplar Class 12 Mathematics 9: Differential Equations exercises

ExerciseNo. of questionsPages
Solved Examples41180 to 192
Exercise97193 to 203

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NCERT Exemplar Solutions for Class 12 Mathematics 10: Vector Algebra

Concepts covered in Vector Algebra are Addition of Vectors, Basic Concepts of Vector Algebra, Components of Vector, Direction Cosines, Geometrical Interpretation of Scalar, Introduction of Product of Two Vectors, Introduction of Vector, Magnitude and Direction of a Vector, Multiplication of a Vector by a Scalar, Position Vector of a Point Dividing a Line Segment in a Given Ratio, Projection of a Vector on a Line, Properties of Vector Addition, Scalar (Or Dot) Product of Two Vectors, Scalar Triple Product of Vectors, Section Formula, Vector Joining Two Points, Vector (Or Cross) Product of Two Vectors, Vectors and Their Types, Vectors Examples and Solutions.

NCERT Exemplar Class 12 Mathematics 10: Vector Algebra exercises

ExerciseNo. of questionsPages
Solved Examples22206 to 214
Exercise46215 to 219

NCERT Exemplar Solutions for Class 12 Mathematics 11: Three Dimensional Geometry

Concepts covered in Three Dimensional Geometry are Angle Between Line and a Plane, Angle Between Two Lines, Angle Between Two Planes, Coplanarity of Two Lines, Direction Cosines and Direction Ratios of a Line, Distance of a Point from a Plane, Equation of a Line in Space, Equation of a Plane in Normal Form, Equation of a Plane Passing Through Three Non Collinear Points, Equation of a Plane Perpendicular to a Given Vector and Passing Through a Given Point, Intercept Form of the Equation of a Plane, Introduction of Three Dimensional Geometry, Plane Passing Through the Intersection of Two Given Planes, Relation Between Direction Ratio and Direction Cosines, Shortest Distance Between Two Lines, Three - Dimensional Geometry Examples and Solutions, Vector and Cartesian Equation of a Plane.

NCERT Exemplar Class 12 Mathematics 11: Three Dimensional Geometry exercises

ExerciseNo. of questionsPages
Solved Examples24224 to 234
Exercise49235 to 240

NCERT Exemplar Solutions for Class 12 Mathematics 12: Linear Programming

Concepts covered in Linear Programming are Different Types of Linear Programming Problems, Graphical Method of Solving Linear Programming Problems, Introduction of Linear Programming, Linear Programming Problem and Its Mathematical Formulation, Mathematical Formulation of Linear Programming Problem.

NCERT Exemplar Class 12 Mathematics 12: Linear Programming exercises

ExerciseNo. of questionsPages
Solved Examples12243 to 249
Exercise46250 to 257

NCERT Exemplar Solutions for Class 12 Mathematics 13: Probability

Concepts covered in Probability are Bayes’ Theorem, Bernoulli Trials and Binomial Distribution, Conditional Probability, Independent Events, Introduction of Probability, Mean of a Random Variable, Multiplication Theorem on Probability, Probability Examples and Solutions, Properties of Conditional Probability, Random Variables and Its Probability Distributions, Variance of a Random Variable.

NCERT Exemplar Class 12 Mathematics 13: Probability exercises

ExerciseNo. of questionsPages
Solved Examples22261 to 271
Exercise131271 to 286

NCERT Exemplar Solutions for Mathematics [English] Class 12

Class 12 NCERT Exemplar solutions answers all the questions given in the NCERT Exemplar textbooks in a step-by-step process. Our Maths tutors have helped us put together this for our Class 12 Students. The solutions on Shaalaa will help you solve all the NCERT Exemplar Class 12 Maths questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.

Shaalaa provides free NCERT Exemplar solutions for Mathematics [English] Class 12. Shaalaa has carefully crafted NCERT Exemplar solutions for Class 12 Maths that can help you understand the concepts and learn how to answer properly in your board exams. You can also share our link for free Class 12 Maths NCERT Exemplar solutions with your classmates.

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NCERT Exemplar Solutions for Class 12 Maths CBSE

Class 12 NCERT Exemplar Solutions answer all the questions in the NCERT Exemplar textbooks in a step-by-step process. Our Maths tutors helped us assemble this for our Class 12 students. The solutions on Shaalaa will help you solve all the NCERT Exemplar Class 12 Maths questions without any problems. Every chapter has been broken down systematically for the students, which gives them fast learning and easy retention.

Shaalaa provides a free NCERT Exemplar answer guide for Maths Class 12, CBSE. Shaalaa has carefully crafted NCERT Exemplar solutions for the Class 12 Maths to help you understand the concepts and adequately answer questions in your board exams.

If you have any doubts while going through our Class 12 Maths NCERT Exemplar solutions, you can go through our Video Tutorials for Maths. The tutorials help you better understand the concepts.

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NCERT Exemplar Class 12 Maths Guide Book Back Answers

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Comprehensive NCERT Exemplar Solutions for CBSE Maths Class 12 Guide

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Our NCERT Exemplar Maths Answer Guide for the Class 12 CBSE covers all 13 chapters. As a result, you will be able to fully prepare for the exam without worrying about missing anything. You rarely get such a benefit, which makes the Maths Class 12 CBSE NCERT Exemplar solutions provided here such an extraordinary advantage that you can always rely on. Consider giving it a try for yourself, and you will find it very comprehensive, professional, and convenient at the same time.

Our CBSE NCERT Exemplar solutions for Maths Class 12 cover everything from Relations And Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity And Differentiability, Application Of Derivatives, Integrals, Application Of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Linear Programming, Probability and the other topics.

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