Скачать или смотреть important Questions 12th Maths CBSE Board |Friendship With Maths | ncert Exemplar 12th Maths Solut

important Questions 12th Maths CBSE Board |Friendship With Maths | ncert Exemplar 12th Maths Solut

Chapter 1: Relations and Functions

Binary operations

Types of relations (reflexive, symmetric, transitive, equivalence)

Functions (one-one, onto, bijective)

Inverse of a function

Composition of functions

Identity function

Chapter 2: Inverse Trigonometric Functions

Principal value branch

Domain and range

Properties of inverse trigonometric functions

Graphs of inverse trigonometric functions

Relations between trigonometric and inverse trigonometric functions

Chapter 3: Matrices

Types of matrices

Operations on matrices (addition, multiplication, transpose)

Properties of matrix operations

Symmetric and skew-symmetric matrices

Invertible matrices and their properties

Chapter 4: Determinants

Determinant of a square matrix

Properties of determinants

Minors and cofactors

Adjoint and inverse of a matrix

Applications (solving system of linear equations using matrices)

Chapter 5: Continuity and Differentiability

Continuity (at a point, over an interval)

Differentiability

Derivative of composite, implicit, inverse functions

Exponential and logarithmic differentiation

Second-order derivatives

Mean Value Theorems

Chapter 6: Application of Derivatives

Rate of change

Increasing/decreasing functions

Maxima and minima

First and second derivative tests

Tangents and normals

Approximation

Chapter 7: Integrals

Indefinite integrals

Integration by substitution, parts, partial fractions

Definite integrals

Properties of definite integrals

Area under curves

Chapter 8: Application of Integrals

Area under curves

Area between two curves

Chapter 9: Differential Equations

Order and degree of a differential equation

General and particular solution

Methods of solving (variable separable, linear differential equations)

Applications

Chapter 10: Vector Algebra

Vectors and scalars

Types of vectors (zero, unit, collinear, etc.)

Addition of vectors

Scalar and vector products

Applications in geometry

Chapter 11: Three Dimensional Geometry

Direction cosines and direction ratios

Equation of a line

Equation of a plane

Angle between lines, planes, and line and plane

Shortest distance between skew lines

Chapter 12: Linear Programming

Linear inequalities

Feasible region

Optimal solution

Graphical method of solving LPP

Chapter 13: Probability

Conditional probability

Bayes’ theorem

Independent events

Random variable

Probability distribution

Mean and variance of a random variabl

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