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Class 12 - Maths

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Get NCERT solutions for Class 12 Maths free with videos. Solutions of all exercise questions, examples, miscellaneous exercise, supplementary exercise are given in an easy to understand way

 

The chapters and the topics in them are

  1. Chapter 1 Relation and Functions – Types of Relation - Reflexive, Symmetric, Transitive & Equivalence relation, Type of functions - One-one (injective), Onto (surjective) & Bijective, Composition of functions and Inverse of a function, Binary Operation - Commutative, Associative, Identity and Inverse.
  2. Chapter 2 Inverse Trigonometric Functions –  Finding principle value, solving identities using properties
  3. Chapter 3 Matrices – Order of matrix, Types of matrices - Column matrix, Row matrix, Square matrix, Diagnol matrix, Scalar Matrix, Identity matrix, Equal matrices, Addition, Subtraction and Multiplication of matrices, Transpose of a Matrix, Symmetric, Skew Symmetric Matrices, Finding inverse of matrix by elementary operations
  4. Chapter 4 Determinants – Evaluating 2 x 2, 3 x 3 Determinant, Properties of Determinant, Area of triangle, Minors and Cofactors, Adjoint and inverse of matrix, Solution of system of linear equations using matrix method
  5. Chapter 5 Continuity and Differentiability – Finding whether function is continuous, composition of continuous functions is continuous, Finding Derivative using chain rules, logarithmic and exponential differentiation, Mean value of theorem, Rolle's Theorem.
  6. Chapter 6 Application of Derivatives – Finding rate of change, Increasing & decreasing functions, Point of Inflexion, Finding slope of tangent  and normal, Finding approximate of functions and numbers, Finding maxima & minima using first derivative & second derivative test and Finding absolute maxima and minima
  7. Chapter 7 Integrals – Finding integration by substitution, trigonometric identities, Partial Fractions & using special formulas. Finding definite integrals as Limit as a Sum, Finding definite integral using indefinite integral and finding Definite Integral using properties
  8. Chapter 8 Application of Integrals –  Finding area of region of simple curve, curve and line. Finding area between two curves.
  9. Chapter 9 Differential Equations – Degree and order of differential equations, General & Particular Solutions of Differential Equation, Forming differential equation when general solution is equation, Solving by variable separating, solving homogeneous differential equations, Linear Differential Equation
  10. Chapter 10 Vector Algebra – What is vector, Difference between vector and scalar, Types of vector - Unit vector, Equal vector, Addition of vectors, Components of vector, Scalar(Dot) product of vectors, Projection of vector on line, Vector (Cross) product of vectors, Finding area of parallelogram
  11. Chapter 11 Three Dimensional Geometry – Direction Ratio & Direction cosines of line, Finding equation of line - given point & parallel vector, though two points, Angle between two lines, Distance between two skew lines, Distance between two parallel lines, Finding equation of plane - normal form, perpendicular to given vector & passing through point, through 3 non-collinear points, intercept form, through two planes. Coplanarity of two planes, Angle between two planes, Distance between point and plane, Angle between Line & Plane
  12. Chapter 12 Linear Programming – Finding maximum or minimum value of Z using bounded or unbounded region of graphical inequality.  Solving Diet, Manufacturing & Transport problems.
  13. Chapter 13 Probability – Conditional Probability, Multiplication Theorem of Probability, Independent events, Bayes Theorem, Random Variable & its Probability Distributions, Mean & Variance of Random Variable, Bernoulli Trials & Binomial Distribution

 

Each chapter is divided into two parts - Serial Order Wise and Concept Wise.

  • In Serial  Order Wise, the chapter is taught according to the NCERT Book with exercises, examples and miscellaneous. You should follow this when you are searching for a particular question
  • In Concept Wise, we have divided the Chapter into topics. Concept is explained first, and then questions are ordered from easy to difficult. You should always follow this method to do the chapter. This is the Teachoo (टीचू) way of doing a chapter.

 

In addition to that, Important Questions are marked for your reference.

And, we have also solved Past Year Papers, and Sample Papers with step by step marking as well

 

Click on a Chapter below to begin

 

Chapter 1 Class 12 Relation and Functions

Chapter 2 Class 12 Inverse Trigonometric Functions

Chapter 3 Class 12 Matrices

Chapter 4 Class 12 Determinants

Chapter 5 Class 12 Continuity and Differentiability

Chapter 6 Class 12 Application of Derivatives

Chapter 7 Class 12 Integrals

Chapter 8 Class 12 Application of Integrals

Chapter 9 Class 12 Differential Equations

Chapter 10 Class 12 Vector Algebra

Chapter 11 Class 12 Three Dimensional Geometry

Chapter 12 Class 12 Linear Programming

Chapter 13 Class 12 Probability

Important Questions for exams Class 12

  Chapter 1 Class 12 Relation and Functions
  Chapter 2 Class 12 Inverse Trigonometric Functions
  Chapter 3 Class 12 Matrices
  Chapter 4 Class 12 Determinants
  Chapter 5 Class 12 Continuity and Differentiability
  Chapter 6 Class 12 Application of Derivatives
  Chapter 7 Class 12 Integrals
  Chapter 8 Class 12 Application of Integrals
  Chapter 9 Class 12 Differential Equations
  Chapter 10 Class 12 Vector Algebra
  Chapter 11 Class 12 Three Dimensional Geometry
  Chapter 12 Class 12 Linear Programming
  Chapter 13 Class 12 Probability

Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

  CBSE Class 12 Sample Paper for 2025 Boards
  CBSE Class 12 Sample Paper for 2024 Boards
  CBSE Class 12 Sample Paper for 2023 Boards
  Practice Questions CBSE - Maths Class 12 (2023 Boards)
  CBSE Class 12 Sample Paper for 2022 Boards (For Term 2)
  CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)
  CBSE Class 12 Sample Paper for 2021 Boards
  CBSE Class 12 Sample Paper for 2020 Boards
  CBSE Class 12 Sample Paper for 2019 Boards
  CBSE Class 12 Sample Paper for 2018 Boards

What's in it?

Get NCERT solutions for Class 12 Maths free with videos. Solutions of all exercise questions, examples, miscellaneous exercise, supplementary exercise are given in an easy to understand way

 

The chapters and the topics in them are

  1. Chapter 1 Relation and Functions – Types of Relation - Reflexive, Symmetric, Transitive & Equivalence relation, Type of functions - One-one (injective), Onto (surjective) & Bijective, Composition of functions and Inverse of a function, Binary Operation - Commutative, Associative, Identity and Inverse.
  2. Chapter 2 Inverse Trigonometric Functions –  Finding principle value, solving identities using properties
  3. Chapter 3 Matrices – Order of matrix, Types of matrices - Column matrix, Row matrix, Square matrix, Diagnol matrix, Scalar Matrix, Identity matrix, Equal matrices, Addition, Subtraction and Multiplication of matrices, Transpose of a Matrix, Symmetric, Skew Symmetric Matrices, Finding inverse of matrix by elementary operations
  4. Chapter 4 Determinants – Evaluating 2 x 2, 3 x 3 Determinant, Properties of Determinant, Area of triangle, Minors and Cofactors, Adjoint and inverse of matrix, Solution of system of linear equations using matrix method
  5. Chapter 5 Continuity and Differentiability – Finding whether function is continuous, composition of continuous functions is continuous, Finding Derivative using chain rules, logarithmic and exponential differentiation, Mean value of theorem, Rolle's Theorem.
  6. Chapter 6 Application of Derivatives – Finding rate of change, Increasing & decreasing functions, Point of Inflexion, Finding slope of tangent  and normal, Finding approximate of functions and numbers, Finding maxima & minima using first derivative & second derivative test and Finding absolute maxima and minima
  7. Chapter 7 Integrals – Finding integration by substitution, trigonometric identities, Partial Fractions & using special formulas. Finding definite integrals as Limit as a Sum, Finding definite integral using indefinite integral and finding Definite Integral using properties
  8. Chapter 8 Application of Integrals –  Finding area of region of simple curve, curve and line. Finding area between two curves.
  9. Chapter 9 Differential Equations – Degree and order of differential equations, General & Particular Solutions of Differential Equation, Forming differential equation when general solution is equation, Solving by variable separating, solving homogeneous differential equations, Linear Differential Equation
  10. Chapter 10 Vector Algebra – What is vector, Difference between vector and scalar, Types of vector - Unit vector, Equal vector, Addition of vectors, Components of vector, Scalar(Dot) product of vectors, Projection of vector on line, Vector (Cross) product of vectors, Finding area of parallelogram
  11. Chapter 11 Three Dimensional Geometry – Direction Ratio & Direction cosines of line, Finding equation of line - given point & parallel vector, though two points, Angle between two lines, Distance between two skew lines, Distance between two parallel lines, Finding equation of plane - normal form, perpendicular to given vector & passing through point, through 3 non-collinear points, intercept form, through two planes. Coplanarity of two planes, Angle between two planes, Distance between point and plane, Angle between Line & Plane
  12. Chapter 12 Linear Programming – Finding maximum or minimum value of Z using bounded or unbounded region of graphical inequality.  Solving Diet, Manufacturing & Transport problems.
  13. Chapter 13 Probability – Conditional Probability, Multiplication Theorem of Probability, Independent events, Bayes Theorem, Random Variable & its Probability Distributions, Mean & Variance of Random Variable, Bernoulli Trials & Binomial Distribution

 

Each chapter is divided into two parts - Serial Order Wise and Concept Wise.

  • In Serial  Order Wise, the chapter is taught according to the NCERT Book with exercises, examples and miscellaneous. You should follow this when you are searching for a particular question
  • In Concept Wise, we have divided the Chapter into topics. Concept is explained first, and then questions are ordered from easy to difficult. You should always follow this method to do the chapter. This is the Teachoo (टीचू) way of doing a chapter.

 

In addition to that, Important Questions are marked for your reference.

And, we have also solved Past Year Papers, and Sample Papers with step by step marking as well

 

Click on a Chapter below to begin