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

**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.**Chapter 2 Inverse Trigonometric Functions**– Finding principle value, solving identities using properties**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**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**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.**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**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**Chapter 8 Application of Integrals**– Finding area of region of simple curve, curve and line. Finding area between two curves.**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**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**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**Chapter 12 Linear Programming**– Finding maximum or minimum value of Z using bounded or unbounded region of graphical inequality. Solving Diet, Manufacturing & Transport problems.**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.