Relation & Functions FULL CHAPTER | Class 12th Maths | Lakshya JEE

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⏳ Timestamps -

00:00 - Introduction
04:31 - Relation
19:22 - Types Of Relation
44:07 - Inverse Of Relation
01:00:17 - Function
01:08:06 - Trigonometric Function
01:19:24 - Polynomial Function
01:24:35 - Rational Function
01:32:58 - Logarithmic Function
01:39:32 - Exponential Function
01:45:02 - Absolute Value Function ( Modulus Function )
01:52:09 - Signum Function
01:58:57 - Fractional Part Function
02:13:03 - One - One Function ( Injective Mapping )
02:18:27 - Many - One Function
02:22:07 - Onto - Function ( Surjective Mapping )
02:32:22 - Bijective Function
02:33:33 - Use Of Pnc In (Mapping Function)
02:42:06 - Composite Functions
02:51:26 - Implicit Function & Explicit Function
02:54:43 - Even & Odd Function
03:03:56 - Periodic Function
03:11:59 - Inverse of A Function
03:23:50 - Functional Equation
03:49:09 - Graphs Transformation
04:38:39 - Thank You !

#JEE2024 #lakshyajee #relationandfunctions #class12maths #JEEpreparation #relationandfunctionsoneshot #mathsJEE #relationandfunctionsJEE

Good luck with your studies! 🎓✨

[Classth-JEE]

Padhai ko aur easy karne ke liye ye telegram group join karo 🤩

[AbhikIITD]

00:01 This lecture covers the importance of relation and function in mathematics.
01:56 The video covers relation, functions, domain, range, classification, equations, and graph transformation.
06:54 Understanding ordered pairs in relation & functions
08:47 Understanding the concept of elements in a relation
12:19 Understanding the total number of relations using the elements in sets.
14:03 Understanding domain, range, and codomain in relation to elements.
17:36 Understanding the concept of domain and range in relation and functions
19:09 Introducing the types of relationships in Class 12 Maths.
22:37 Universal, identity, and relation explained
24:29 Understanding identity relations and their role in relations
28:22 Reflexive relation and identity in relations
30:21 Explaining Symmetric Relations and Transitive Relations
33:29 Understanding transitive relationships in mathematics
35:09 Properties of relations in mathematics
38:37 Understanding symmetry and transitivity in relations and functions
40:20 Understanding reflexivity, symmetry, and transitivity in relations
43:53 Understanding inverse relationships in functions
45:33 Understanding the reverse of ordered pairs in relations
49:09 Checking reflexivity and transitivity of relations
50:36 Understanding transitive and reflexive relationships
54:02 Discussing reflexivity and transitivity in relations
55:55 Explaining the concept of symmetry in relation to b to a
59:16 Understanding domain and range of functions
1:01:00 Understanding the relationship between sets and their images
1:04:35 Understanding the importance of functions in relation
1:06:22 Understanding functions through graph intersections
1:10:36 Explaining the range of trigonometric functions for different values of x.
1:12:29 Finding the range of trigonometry functions based on examples
1:17:08 Understanding the range of a given function
1:19:27 Overview of functions and their types
1:22:53 Understanding domain and range in relation functions
1:24:33 Quadratic rational functions have specific graph characteristics
1:28:10 Understanding the concept of discrimination in relation to coefficients
1:29:55 Understanding quadratic equations and range of x.
1:33:24 Understanding the domain and range of logarithmic functions.
1:35:09 Understanding domain and range in functions
1:38:35 Understanding minimum and maximum values with logarithms.
1:40:20 Graphs of exponential functions from 0 to 1
1:43:41 Understanding relations and functions in the context of power and equations.
1:45:37 Understanding the properties and range of modes
1:48:59 Finding the range of greatest integer and mod functions
1:50:47 Understanding the minimum and maximum values of sinx-cosx
1:54:50 Understanding the greatest integer function and its properties
1:56:31 Understanding the concept of greatest integer and its application
2:00:34 Understanding the properties and fractions part of x
2:02:14 Understanding the fractional part of x and its application in ranges and equations.
2:05:34 Understanding the properties of fractional parts of numbers
2:07:10 Understanding concepts of fraction part of x and its relation with g
2:10:47 Checking the domain and range for identifying Tikal function
2:12:29 Classification of functions and their types
2:16:20 Understanding injectable functions and linear functions in relation & functions
2:17:57 Understanding many-one functions and their characteristics
2:21:15 Understanding horizontal line test and on to function
2:23:00 Understanding the relationship between codomain and range in functions
2:26:34 Understanding the value of y / 1+ y and its implications
2:28:21 Understanding range and domain from zero to one
2:31:38 Understanding functions and relations with respect to positivity and equality
2:33:26 Understanding the use of PNC in relation to functions
2:37:00 Calculation of total minus vav using the given formula
2:38:48 Determining total number of constant functions based on given values of r and n
2:42:15 Understanding composite functions and their ranges
2:46:04 Understanding domain and range of functions.
2:51:21 Understanding composite functions and implicit functions
2:53:56 Understanding bound and closed boundaries in functions
2:59:32 Understanding odd functions and their properties
3:02:02 Understanding the domain, codomain, odd functions, and symmetries in functions.
3:08:03 Understanding periodicity and constancy of functions
3:09:43 Substitution method for finding fundamental period
3:13:07 Understanding budget function and domain-range concepts
3:14:48 Domain and range may change due to composite functions
3:19:00 Understanding functions and their properties in mathematics
3:20:41 Understanding the fundamental period and odd function properties
3:24:47 Understanding properties of logarithms in relation to functions
3:27:48 Understanding different types of functions and their application in problem-solving.
3:31:47 Solving equations involving functions with x
3:33:28 Understanding pairs and odd numbers in a sequence
3:54:46 This chapter covers relations and functions in Class 12th Maths.

[shivaaypandey]

⏳ Timestamps -

00:00 - Introduction
04:31 - Relation
19:22 - Types Of Relation
44:07 - Inverse Of Relation
01:00:17 - Function
01:08:06 - Trigonometric Function
01:19:24 - Polynomial Function
01:24:35 - Rational Function
01:32:58 - Logarithmic Function
01:39:32 - Exponential Function
01:45:02 - Absolute Value Function ( Modulus Function )
01:52:09 - Signum Function
01:58:57 - Fractional Part Function
02:13:03 - One - One Function ( Injective Mapping )
02:18:27 - Many - One Function
02:22:07 - Onto - Function ( Surjective Mapping )
02:32:22 - Bijective Function
02:33:33 - Use Of Pnc In (Mapping Function)
02:42:06 - Composite Functions
02:51:26 - Implicit Function & Explicit Function
02:54:43 - Even & Odd Function
03:03:56 - Periodic Function
03:11:59 - Inverse of A Function
03:23:50 - Functional Equation
03:49:09 - Graphs Transformation
04:38:39 - Thank You !

[ShivamAnand-kgyg]

⏳ Timestamps -

00:00 - Introduction
04:31 - Relation
19:22 - Types Of Relation
44:07 - Inverse Of Relation
01:00:17 - Function
01:08:06 - Trigonometric Function
01:19:24 - Polynomial Function
01:24:35 - Rational Function
01:32:58 - Logarithmic Function
01:39:32 - Exponential Function
01:45:02 - Absolute Value Function ( Modulus Function )
01:52:09 - Signum Function
01:58:57 - Fractional Part Function
02:13:03 - One - One Function ( Injective Mapping )
02:18:27 - Many - One Function
02:22:07 - Onto - Function ( Surjective Mapping )
02:32:22 - Bijective Function
02:33:33 - Use Of Pnc In (Mapping Function)
02:42:06 - Composite Functions
02:51:26 - Implicit Function & Explicit Function
02:54:43 - Even & Odd Function
03:03:56 - Periodic Function
03:11:59 - Inverse of A Function
03:23:50 - Functional Equation
03:49:09 - Graphs Transformation
04:38:39 - Thank You !

Jai Sri Ram 🚩🚩🚩!

[SujeetKumar-rjkp]

00:00​ - Introduction
04:31​ - Relation
19:22​ - Types Of Relation
44:07​ - Inverse Of Relation
01:00:17​ - Function
01:08:06​ - Trigonometric Function
01:19:24​ - Polynomial Function
01:24:35​ - Rational Function
01:32:58​ - Logarithmic Function
01:39:32​ - Exponential Function
01:45:02​ - Absolute Value Function ( Modulus Function )
01:52:09​ - Signum Function
01:58:57​ - Fractional Part Function
02:13:03​ - One - One Function ( Injective Mapping )
02:18:27​ - Many - One Function
02:22:07​ - Onto - Function ( Surjective Mapping )
02:32:22​ - Bijective Function
02:33:33​ - Use Of Pnc In (Mapping Function)
02:42:06​ - Composite Functions
02:51:26​ - Implicit Function & Explicit Function
02:54:43​ - Even & Odd Function
03:03:56​ - Periodic Function
03:11:59​ - Inverse of A Function
03:23:50​ - Functional Equation
03:49:09​ - Graphs Transformation
04:38:39​ - Thank You !


📌 For

[Rounakiitd]

lucky gang was waiting for his lecture

[AnupamYadav-lfzd]

He is an outstanding maths has pdoved this in arjuna 3.0

[akashtalukdar]

Those Who don't Know him, Let me Say that You all Are Very lucky to get the lecture from him. He is the Most Underrated Faculty of PW. THE KING OF MATHEMATICS.

[harshchauhan]

H.W 1 : Option B 57:55
1:17:00 : part iv = [-_/13, _/13]
H.W 3 : B

[crickcreation-dovx]

00:00 Introduction

04:31 - Relation

19:22 - Types Of Relation

44:07 - Inverse Of Relation

01:00:17 - Function

01:08:06 - Trigonometric Function

01:19:24 - Polynomial Function

01:24:35 Rational Function

01:32:58- Logarithmic Function

01:39:32 - Exponential Function

01:45:02 - Absolute Value Function (Modulus Function)

01:52:09 - Signum Function

01:58:57 - Fractional Part Function

02:13:03 - One-One Function (Injective Mapping)

02:18:27 - Many - One Function

02:22:07 - Onto-Function (Surjective Mapping)

02:32:22 - Bijective Function

02:33:33 - Use Of Pnc In (Mapping Function)

02:42:06 - Composite Functions

02:51:26 - Implicit Function & Explicit Function

02:54:43 - Even & Odd Function

03:03:56 - Periodic Function

03:11:59 - Inverse of A Function

03:23:50 - Functional Equation

03:49:09 - Graphs Transformation

04:38:39 Thank You!
😊😊😊😊😊

[ashifansari]

Sir har ek lecture ke saath ek practice sheet vhi de dijiye to bohot accha hoga

[AryabhatasIndia]

Thank you Sir for this amazing lec arrangement is nice to keep attention throughout the whole lecture ❤....

[adityabisale]

Thankyou sir aapne meri sari Tension khatam kar Diya...
Thank you so much sir💗💗💗💗💗💗💗💗💗❤️❤️💗❤️

[usharatnawat]

Sir plz next video se last 1 hour mix pyq rakhiyega thank u

[geetanjalidas]

H.W#1 ans=2
Is it correct sir? Please sir reply me🙏

[kalpanajha]

Sir ur voice at 1.5x is just like G.B sir's voice😊

[BKS]

57:22 sir a and b toh natural number se belong karte hen. toh phir a - a = 0 hoga jo ki natural number mein nahin he toh phir ye toh reflexive nahi ho paayenge.

[yashvardhanyadav]

Thankuuu so much for this amazing lecture ♥️❣️❣️🙏🙏

[vedantsoni]

Udta teer, guru, mahanta, jivan narak, chabutra, parinde. That the Beauty of the teacher 😢

[parchamsharma]

All Ck ⭐ very nice explanation ek dum bhaukaali