CBSE Class 12 Mathematics Notes: Formulas, NCERT Solutions & Handwritten Notes PDF

CBSE Class 12 Mathematics notes as per the latest CBSE Class 12 syllabus has been provided in this article. Students can make use of these CBSE Class 12 notes which consists of chapterwise handwritten notes, NCERT Solutions PDFs, example problems, important formulas and equations for their CBSE Class 12 Board exam preparation.

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CBSE Class 12 Mathematics Notes & Syllabus

CBSE Class 12 Maths syllabus consists of 13 chapters classified under 6 units. The new CBSE Class 12 Mathematics syllabus for the AY 2022-23 is tabulated below.

Chapter 1: Relation and Function

This chapter mainly deals with the various binary functions, for examples- binary addition, binary subtraction, binary division, Onto Function etc. Important topics covered in Relation and Function chapter include-

• Types of Relations
• Types of Functions
• Binary Operations
• Ordered Pairs
• Period Of A Function
• Composition of Functions and Invertible Function

Expected no. of questions: 2 to 4 questions of 4 to 8 marks

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Chapter 2: Inverse Trigonometric Functions

Though the students are introduced to the concept of Trigonometry before, this chapter deals with an in depth study related to it. It includes- Graphs of Inverse Trigonometric Functions, Inverse Tan, etc. Important topics covered in this chapter are-

• Sine function
• Cosine Function
• Tangent Function 
• Secant Function
• Cotangent Function
• Cosecant Function
• Properties of Inverse Trigonometric Functions

Expected no. of questions: 2 to 4 questions of 4 to 8 marks

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Chapter 3: Matrices

In this chapter the detailed idea related to Matrix is explained along with the related topics like- Diagonal matrix, Scalar matrix, Identity matrix, Column Matrix, Row Matrix. Important topics covered in this chapter are-

• Types of Matrices
• Operations in Matrices
• Transpose of a Matrix
• Symmetric and Skew Symmetric Matrices
• Invertible Matrices

Expected no. of questions: 2 to 5 questions of 5 to 10 marks

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Chapter 4: Determinants

This chapter deals with the core concepts of Determinants and the other important mathematical theories as well. For example- Applications of Determinants and Matrices, Area of a Triangle, Non Singular Matrix, Important topics covered in Determinants chapter are-

• Properties of Determinants
• Minors and Cofactors
• Determinant of a Matrix
• Determinant Formula
• Jacobian Method
• Consistent system

Expected no. of questions: 2 to 5 questions of 5 to 10 marks

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Chapter 5: Continuity and Differentiability

In this chapter the ideas of Continuity and Differentiability and the relation between them. This chapter includes- Logarithmic Differentiation, Continuous Function, Second Order Derivative. Important topics covered in this chapter are-

• Mean Value Theorem
• Rolle’s Theorem
• Limits
• Euler’s Number
• Quotient Rule
• Infinity

Expected no. of questions: 2 to 8 questions of 8 to 17 marks

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Chapter 6: Application of Derivatives

Though the students are introduced to the concept of Derivatives before, this chapter will help them to understand the applications related to this idea in details, along with the other related topics like- interpolation formula, lagrange interpolation formula, linear approximation formula. Important topics covered in this chapter are- 

• Increasing and Decreasing Functions
• Tangents and Normals
• Approximations
• Maxima and Minima

Expected no. of questions: 2 to 8 questions of 8 to 17 marks

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Chapter 7: Integrals

This chapter is all about the concept Integrals and various functions related to it. It also includes- Methods of Integration, Integration by Partial Fractions, Integration by Parts, Definite Integral. Important topics covered in This chapter is Chapter are:

• Double Integral
• Continuous Integration
• Properties of Definite Integral
• Line Integral
• Integrals of Particular Function

Expected no. of questions: 2 to 8 questions of 6 to 18 marks

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Chapter 8: Application of Integrals

This chapter can be considered as an extensive study related to the previous chapter, along with Definite Integral Formula and trapezoidal rule formula. Important topics covered in this Chapter are-

• Trapezoidal Rule
• Simpsons Rule
• Area under the curve

Expected no. of questions: 2 to 8 questions of 6 to 18 marks

Also Read,

Chapter 9: Differential Equation

This chapter deals with the concept of Differential Equation. In this chapter other related topics like- Differential Equations Applications, First Order Differential Equation are also discussed. Important topics covered in this chapter are-

• First order linear differential equations
• Partial differential equations
• Ordinary differential equations
• Homogeneous differential equations
• Difference Between Parametric And Nonparametric

Expected no. of questions: 2 to 8 questions of 6 to 18 marks

Also Read,

Chapter 10: Vector Equation

This chapter can be considered as an introductory chapter to the concept- Vector. It also incudes some important topics like Position Vector, Direction Cosines, Unit Vector, Equal Vector.  Important topics covered in this chapter are-

• Types of Vectors
• Addition of Vectors
• Negative of a Vector
• Magnitude of a vector

Expected no. of questions: 2 to 7 questions of 7 to 14 marks

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Chapter 11: Three Dimensional Geometry

Through this chapter the basic ideas of dimentional geometry are exzplained here along with, Angle Between Two Vectors, section formula 3 dimension etc. Important topics covered in this chapter are-

• Angle between two lines
• Plane
• Angle between line and plane
• Angle between two vectors
• Coplanarity
• Three dimensional geometry Handwritten Notes

Expected no. of questions: 2 to 7 questions of 7 to 14 marks

Also Read, NCERT Solutions for Class 12 Maths Chapter 11- Three Dimensional Geometry

Chapter 12: Linear Programming

This chapter includes the basic studies of linear programming. Important topics covered in Linear Programming Chapter are- 

• Optimization
• Graphical method of Linear Programming
• Linear Programming Handwritten Notes

Expected no. of questions: 1 to 3 questions of 5 marks

Also Read, NCERT Solutions for Class 12 Maths Chapter 12- Linear Programming

Chapter 13: Probability

In this chapter an extensive study of Probability, along with other important topics like- Bias, Bayes Theorem Formula, Conditional Probability Formula, difference between mutually exclusive and independent events. Important topics covered in Probability Chapter are-

• Conditional Probability
• Multiplication Theorem on Probability
• Independent Events
• Bayes Theorem

Expected no. of questions: 2 to 4 questions of 2 to 5 marks

Also Read, 

Popular Reference books & Additional Resources

Students can also make use of these additional resources for Class 12 Mathematics Notes where all the important numericals, formulas, equations and handwritten notes are available.

• Senior Secondary School Mathematics by RS Agarwal

• Algebra

• Calculus

• Trigonometry

Also Check,