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## by Arvind Sir

4.7 (134 Users)
Class 12 , Maths
Board: CBSE & State Boards , Language: Hinglish

Mode- Online
Videos- 168
Validity- Till 31 Mar 2020
Language- Hinglish
No. of Views- Unlimited

## WHAT WILL I LEARN?

# 100+ Video lecture covering entire syllabus Each topic with example exercise.

# Live doubts Q&A - Discussion forum.

#You will understand Class 12th Maths for Board & also very useful for JEE & JEE Mains & Advance.

All future updates will be Free.

## Curriculum

Chapter 1 | Relations and Functions

• 1.1 Relations & Functions Introduction
• 1.2 Reflexive, Symmetric & Transitive Relations Equivalence relations
• 1.3, Maths Ex 1.1 Ch 1 Relations & Functions solutions (Q1-Q3)
• 1.4, Maths Ex 1.1 Ch 1 Relations & Functions solutions (Q4-Q11)
• 1.5 Relations & Functions exercise 1.1 Chap 1, Q12 to Q16 solutions.
• 1.6 Equivalence Classes, relations & functions.
• 1.7 One One (Injective), onto (surjective) , Bijective functions
• 1.8 Relation & functions EXERCISE 1.2 CLASS 12 Q3 TO 12 SOLUTIONS CBSE NCERT
• 1.9 Composition of functions, gof, fog.
• 1.10 Invertible functions Invertibility of functions
• 1.11 Relations & Functions Exercise 1.3 Class 12 Question 1 to 7 Solutions NCERT.
• 1.12 Relations & Functions Exercise 1.3 Class 12 Question 8 to 14 Solutions NCERT
• 1.13 Binary Operation, How to find Identity & Inverse
• 1.14 Relations & functions Exercise 1.4 Question 1 to 6 NCERT Solutions.
• 1.15 Relations & functions Exercise 1.4 Question 7 to 13 NCERT Solutions
• 1.16 Relations & functions Exercise Miscellaneous Q 1 to 4 Solutions
• 1.17 Relations and functions Exercise Miscellaneous Q 5 to 12 Solutions.
• 1.18 Exercise Miscellaneous Q13 Q18 Solutions

Chapter 2 | Inverse trigonometric functions

• 2.1. Inverse Trigonometric Functions
• 2.2, Inverse Trigonometric functions, Domain and Range
• 2.3 Inverse Trigonometric Functions exercise 2.1 NCERT Ex. 2.1
• 2.4 Inverse Trigonometric functions Exercise 2.2, NCERT EX. 2.2 Part-1
• 2.5 Inverse Trigonometric functions NCERT EX. 2.2 Part-2
• 2.6 NCERT EX. Misc Inverse Trigonometric functions
• 2.7 NCERT EX. Misc Inverse Trigonometric functions

Chapter 3 | Matrices

• 3.1 Matrices - Order and Type of Matrices
• 3.2 Matrices - Addition & Multiplicfation of matrices
• 3.3 Matrices - NCERT Ex. 3.2
• 3.4 Matrices - Transpose of a Matrix
• 3.5 Matrices - Symmetric and Skew Symmetric Matrix
• 3.6 Matrices - NCERT Ex. 3.3 Questions
• 3.7, Matrices - Matrix Elementary operations
• 3.8 Matrices - Inverse of a Matrix
• 3.9 Matrices - Finding Inverse by Elementary operations
• 3.10 Finding inverse 3x3 Matrix by elementary operations
• 3.11 Finding Inverse by Column Elementary Operations
• 3.12 NCERT Miscellaneous Exercise Misc. EX.

Chapter 4 | Determinants

• 4.1 Introduction of Determinants and Meaning
• 4.2 Properties of a Determinants
• 4.3 Determinants important Questions & NCERT Ex 4.2
• 4.4 Determinants NCERT Ex 4.2 Continued
• 4.5 Determinants NCERT Ex. 4.2 and 4.3
• 4.6 Minor and Cofactors
• 4.7 Adjoint and Inverse of a Matrix
• 4.8 Determinants NCERT Ex. 4.5
• 4.9 Solving Equations by Matrix Method

Chapter 5 | Continuity and Differentiability

• 5.1 Understanding Continuity Part 1
• 5.2 Continuity Part 2
• 5.3 Continuity Part 3
• 5.4 Continuity Questions
• 5.5 Differentiability
• 5.6 NCERT Ex. 7.3
• 5.7 Implicit and Inverse Functions
• 5.8 exponential and Log functions
• 5.9 NCERT Ex. 5.5
• 5.10 Parametric functions NCERT Ex. 5.6
• 5.11 NCERT Ex. 5.7
• 5.12 Mean Value Theorem (MVT) and Questions
• 5.13 NCERT Miscellaneous Ex. Part 1
• 5.14 NCERT Miscellaneous Ex. Part 2

Chapter 6 | Applications and Derivatives

• 6.1 Tangent and Normals
• 6.2 Questions on tangents and Normals & Approximations
• 6.3 Rate Measure
• 6.4 Rate Measure & Increasing Decreasing functions
• 6.5 Maxima and Minima
• 6.6 Questions on Maxima and Minima

Chapter 7 | Integrals

• 7.1 Indefinite Integration : Method of Inspection
• 7.2 Indefinite Integration : Method of Substitution
• 7.3 Indefinite Integration : NCERT Ex. 7.2 Method of Substitution
• 7.4 Indefinite Integration : NCERT Ex. 7.3
• 7.5 Indefinite Integration : Special type of Integration
• 7.6 Indefinite Integration : NCERT Ex. 7.4
• 7.7 Indefinite Integration : Integration by Partial Fractions ex. 7.4
• 7.8 Indefinite Integration : NCERT Ex. 7.5
• 7.9 Indefinite Integration : Integration By Parts
• 7.10 Indefinite Integration : Special forms of Indefinite Integration
• 7.11 Indefinite Integration : NCERT Important Miscellaneous Questions
• 7.12 Definite Integration : Definite Integration as a limit of a Sum
• 7.13 Definite Integration : Fundamental theorem of calculus
• 7.14 Definite Integration : Definite Integration By Substitution- NCERT Ex. 7.10
• 7.15 Definite Integration : Important Properties of Definite Integration
• 7.16 Definite Integration : NCERT Ex. 7.11
• 7.17 Definite Integration : Miscellaneous Exercise
• 7.1 Indefinite Integration : Ex. 7.1 and 7.2 (New Updated Video) Demo
• 7.2 Indefinite Integration : Ex. 7.3 and 7.4 (New Updated Video)
• 7.3 Indefinite Integration : Partial Fraction Ex 7.5 (New Updated Video)
• 7.4 Indefinite Integration : Integration By Parts Ex 7.6 (New Updated Video)
• 7.5 Indefinite Integration : Ex. 7.7 and 7.9 (New Updated Video)
• 7.6 Indefinite Integration Ex. 7.9 and 7.10 (New Updated Video)
• 7.1 Definite Integration Ex.7.8 definite Integration limit of a sum (New Updated Video)
• 7.2 Definite Integration Ex.7.0 and 7.10 (New Updated Video)
• 7.3 Definite Integration Propertries of Definite Integration Ex. 7.11 (New Updated Video)
• 7.4 Definite Integration Misc Ex. ( New updated Video)

Chapter 8 | Application of Integrals

• 8.1 Finding Area
• 8.2 Area between the Curves, NCERT Ex. 8.1 and Ex. 8.2
• 8.3 NCERT Miscellaneous Exercise

Chapter 9 | Differential Equations

• 9.1 Order and Degree of Differential Equations
• 9.2 General and Particular Solutions of Differential Equations
• 9.3 Variable Separable- Methods of Solving Differential Equations
• 9.4 Questions of Differential Equations
• 9.5 Linear Differential Equations of First order and First Degree
• 9.6 questions on Differential Equation - NCERT Miscellaneous Exercise
• 9.1 Order, Degree & Linear non Linear of Differential Eq. (New Updated Video) Demo
• 9.2 Ex. 9.1 9.2 9.3. Differential equations (New Updated Video)
• 9.3 Variable Separable (New Updated Video)
• 9.4 Homogeneous Differential Equation (New Updated Video)
• 9.5 Linear Differential Equation (New Updated Video)
• 9.6 Linear Differential Equations Questions (New Updated Video)
• 9.7 Questions (New Updated Video)

Chapter 10 | Vector Algebra

• 10.1 Understanding Direction Cosines and Direction Ratios
• 10.2 Components of Vectors
• 10.3 Scalar or dot Product of Two vectors
• 10.4 Vector or Cross Product of Two vectors
• 10.5 Questions
• 10.6 Questions NCERT Miscellaneous
• 10.1 Vectors Introduction - Understanding Vectors (New Updated Video) Demo
• 10.2 Vectors Questions Ex. 10.2 (New Updated Video)
• 10.3 Scalar Dot Product of Two vectors (New Updated Video)
• 10.4 Vector Cross product of Two vectors (New Updated Video)
• 10.5 Miscellaneous EX. Vectors (New Updated Video)

Chapter 11 | 3D Geometry

• 11.1 Direction Cosine and Direction ratios
• 11.2 Equation of a Straight Line in a Space
• 11.3 Finding Intersection of two Straight Lines in a space
• 11.4 Shortest Distance between Two Skew Lines
• 11.5 Line in 3D Questions
• 11.6 Plane in 3D
• 11.7 Plane in 3D Continued
• 11.8 Plane Passing Through Three Non-Collinear points
• 11.9 Plane Intercept form of a Plane
• 11.10 Intersection of Two Planes
• 11.11 Angle between a Line and a Plane
• 11.12 Questions on 3D Geometry
• 11.1 3D Geometry Direction Cosines and direction ratios (New Updated Video) Demo
• 11.2 Line Eq of Line passing through a point and paralle to given direction (New Updated Video)
• 11.3 Eq of Line passing through two points (New Updated Video)
• 11.4 Angle between Two Lines (New Updated Video)
• 11.5 Shortest Distance between Two Lines (New Updated Video)
• 11.6 Plane (New Updated Video)
• 11.7 Eq of plane passing thru intersection of two Planes (New Updated Video)
• 11.8 Coplanarity of Two Lines (New Updated Video)
• 11.9 Angle between Two Planes (New Updated Video)
• 11.10 Distance of a Point from a Plane (New Updated Video)
• 11.11 Angle between a Line and a Plane (New Updated Video)
• 11.12 Impotant Questions 3D (New Updated Video)

Chapter 12 | Linear Programming

• 12.1 LPP meaning and Use
• 12.2 Questions
• 12.3 Some More Questions

Chapter 13 | Probability

• 13.1 Basic Questions on Probability
• 13.2 Multiplication Theorem of Probability
• 13.3 Independent Events
• 13.4 Some More facts for Independent Events
• 13.5 Questions
• 13.6 Law of Total Probability
• 13.7 Bayes' Theorem
• 13.8 Random Variables
• 13.9 Mean, Variance and standard Deviation
• 13.10 Questions
• 13.11 Bernoulli trials and Binomial distributions
• 13.12 Questions
• 13.13 Miscellaneous Questions
• 13.14 Questions
• 13.1 Conditional Probability (New Updated Video) Demo
• 13.2 Multiplication Theorem of Probability (New Updated Video)
• 13.3 Independent Events (New Updated Video)
• 13.4 Bayes Theorem and law of Total Probability (New Updated Video)
• 13.5 Random Variable and Probability distribution (New Updated Video)
• 13.6 Mean and Variance of Random Variable (New Updated Video)
• 13.7 Bernoulli Trials and Binomial Distribution (New Updated Video)

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## About Arvind Sir

### Arvind Sir

Physics & Maths | Class 11th & 12th | 15+ Years Experience | Arvind Sir is the Director of Arvind Academy. Arvind Sir has dedicated his life to help students achieve their goals in exams by providing them quality education.

## 4999 2999

Includes 5 % GST

Mode- Online

Videos- 168

Validity- Till 31 Mar 2020

Language- Hinglish

No. of Views- Unlimited