Class 12 Mathematics Part 1 And Part 2 English Medium Books pdf

Leave a Comment / By StudyHUB / January 25, 2026

Mathematics Textbook

PART I

Section	Topic	Page No.
1	Relations and Functions	1
1.1	Introduction	1
1.2	Types of Relations	2
1.3	Types of Functions	7
1.4	Composition of Functions and Invertible Function	12
1.5	Binary Operations	19
2	Inverse Trigonometric Functions	33
2.1	Introduction	33
2.2	Basic Concepts	33
2.3	Properties of Inverse Trigonometric Functions	42
3	Matrices	56
3.1	Introduction	56
3.2	Matrix	56
3.3	Types of Matrices	61
3.4	Operations on Matrices	65
3.5	Transpose of a Matrix	83
3.6	Symmetric and Skew Symmetric Matrices	85
3.7	Elementary Operation (Transformation) of a Matrix	90
3.8	Invertible Matrices	91
4	Determinants	103
4.1	Introduction	103
4.2	Determinant	103
4.3	Properties of Determinants	109
4.4	Area of a Triangle	121
4.5	Minors and Cofactors	123
4.6	Adjoint and Inverse of a Matrix	126
4.7	Applications of Determinants and Matrices	133
5	Continuity and Differentiability	147
5.1	Introduction	147
5.2	Continuity	147
5.3	Differentiability	161
5.4	Exponential and Logarithmic Functions	170
5.5	Logarithmic Differentiation	174
5.6	Derivatives of Functions in Parametric Forms	179
5.7	Second Order Derivative	181
5.8	Mean Value Theorem	184
6	Application of Derivatives	194
6.1	Introduction	194
6.2	Rate of Change of Quantities	194
6.3	Increasing and Decreasing Functions	199
6.4	Tangents and Normals	206
6.5	Approximations	213
6.6	Maxima and Minima	216
App 1	Appendix 1: Proofs in Mathematics	247
A.1.1	Introduction	247
A.1.2	What is a Proof?	247
App 2	Appendix 2: Mathematical Modelling	256
A.2.1	Introduction	256
A.2.2	Why Mathematical Modelling?	256
A.2.3	Principles of Mathematical Modelling	257

NCERT-Class-12-Mathematics-Part-1 Download

PART II

Section	Topic	Page No.
7	Integrals	287
7.1	Introduction	288
7.2	Integration as an Inverse Process of Differentiation	288
7.3	Methods of Integration	300
7.4	Integrals of some Particular Functions	307
7.5	Integration by Partial Fractions	316
7.6	Integration by Parts	323
7.7	Definite Integral	331
7.8	Fundamental Theorem of Calculus	334
7.9	Evaluation of Definite Integrals by Substitution	338
7.10	Some Properties of Definite Integrals	341
8	Application of Integrals	359
8.1	Introduction	359
8.2	Area under Simple Curves	359
8.3	Area between Two Curves	366
9	Differential Equations	379
9.1	Introduction	379
9.2	Basic Concepts	379
9.3	General and Particular Solutions of a Differential Equation	383
9.4	Formation of a Differential Equation whose General Solution is given	385
9.5	Methods of Solving First order, First Degree Differential Equations	391
10	Vector Algebra	424
10.1	Introduction	424
10.2	Some Basic Concepts	424
10.3	Types of Vectors	427
10.4	Addition of Vectors	429
10.5	Multiplication of a Vector by a Scalar	432
10.6	Product of Two Vectors	441
11	Three Dimensional Geometry	463
11.1	Introduction	463
11.2	Direction Cosines and Direction Ratios of a Line	463
11.3	Equation of a Line in Space	468
11.4	Angle between Two Lines	471
11.5	Shortest Distance between Two Lines	473
11.6	Plane	479
11.7	Coplanarity of Two Lines	487
11.8	Angle between Two Planes	488
11.9	Distance of a Point from a Plane	490
11.10	Angle between a Line and a Plane	492
12	Linear Programming	504
12.1	Introduction	504
12.2	Linear Programming Problem and its Mathematical Formulation	505
12.3	Different Types of Linear Programming Problems	514
13	Probability	531
13.1	Introduction	531
13.2	Conditional Probability	531
13.3	Multiplication Theorem on Probability	540
13.4	Independent Events	542
13.5	Bayes’ Theorem	548
13.6	Random Variables and its Probability Distributions	557
13.7	Bernoulli Trials and Binomial Distribution	572

NCERT-Class-12-Mathematics-Part-2 Download

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