CBSE Maths

Class 12

Get NCERT solutions for Class 12 Maths Free with videos. Solutions of all questions given, with examples, important questions and Sample Papers

 

The topics in the chapters 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

 

NCERT solutions of all chapters of Class 12 for CBSE Boards are given below, click on a chapter to start.

 

Important questions, and Sample Papers are also marked.


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 Question for exams Class 12


Sample Papers, Previous Year Papers and Other Questions