12th Class Math || 2nd Year Math New Book Exercise 1.3 – Exercise 1.3 Class 12 || Punjab board

‎#EntryTestPrep #Exercise1.3 #NewBook2026 ‎#MathsNewBook2026 #PCTB #PECTAA #Class12Math #Exercise1.3 ‎ ‎Class 12th Math New Book Chapter 1 Exercise 1.3 Complete Solution | Ex 1.3 Class 12 Maths | Graphical Representation of Functions | Punjab Board New Book 2026 | PECTAA/PCTB ‎ ‎☆☆☆ TIME TABLE ☆☆☆ ‎ ‎Exercise 1.3 Class 12 ‎ ‎00:00 – Introduction ‎02:14 - Question 1 ‎21:08 - Question 2 ‎32:49 - Question 3 ‎39:17 - Question 4 ‎47:30 - Question 5 ‎54:34 - Question 6 ‎59:31 - Question 7 ‎01:06:34 - Question 8 ‎01:13:39 - Question 9 ‎01:26:28 - Question 10 ‎ ‎ ‎《《《● LIKE & SUBSCRIBE ●》》》 ‎ ‎For more informative video lectures ‎ ‎Welcome to Calculus Corner, your go-to destination for all things mathematics! ‎ ‎On this channel, we're passionate about making math accessible and enjoyable for everyone. From basic algebra to advanced calculus, and from geometry to statistics, we've got you covered. ‎ ‎Our videos are designed to be engaging, informative, and easy to follow, with step-by-step explanations and real-world examples to help you understand even the most complex concepts. ‎ ‎So join us on this mathematical journey, and let's explore the beauty and power of math together! ‎ ‎👍 Like, Share & Subscribe for more Mathematics lectures and paper solutions. ‎ ‎🎓 Class: 12th Mathematics ‎📖 Chapter: 1 – Graphical Representation of Functions ‎📝 Exercise: 1.3 ‎🏫 Punjab Board (BISE Punjab / PECTAA / PCTB) ‎📅 Session: 2026 ‎ ‎In this video, I have explained Exercise 1.3 of Class 12 Mathematics according to the new Punjab Board syllabus 2026. All questions are solved step by step using easy and exam-oriented methods. Students will learn important concepts of one-to-one (injective) functions, inverse functions, domain and range of functions and their inverses, horizontal line test, graphical verification of inverse functions, reflection in the line y = x, inverse trigonometric functions, and various transformations of functions. ‎ ‎This video is useful for students of all Punjab Boards including Lahore Board, Rawalpindi Board, Gujranwala Board, Multan Board, Sahiwal Board, Bahawalpur Board, D.G. Khan Board, Faisalabad Board, and Sargodha Board. ‎ ‎📚 Topics Covered: ‎ ‎• One-to-One (Injective) Functions ‎• Horizontal Line Test ‎• Inverse Functions ‎• Finding Inverse Functions Algebraically ‎• Domain and Range of Functions ‎• Domain and Range of Inverse Functions ‎• Reflection in the Line y = x ‎• Graphs of Inverse Functions ‎• Graph of y = sin⁻¹x ‎• Reflection of Graphs About the Line y = x ‎• Function Transformations ‎• Horizontal Shifts (Left and Right) ‎• Vertical Shifts (Upward and Downward) ‎• Horizontal Stretch and Compression ‎• Vertical Stretch and Compression ‎• Combined Transformations of Functions ‎• Transformations of Rational Functions ‎• Transformations of Radical Functions ‎• Transformations of Exponential Functions ‎• Transformations of Logarithmic Functions ‎• Transformations of Absolute Value Functions ‎• Comparing Original and Transformed Graphs ‎• Exercise 1.3 Complete Solution ‎ ‎🔎 Related Searches: ‎ ‎Ex 1.3 Punjab 12th Math ‎Class 12 Math Exercise 1.3 ‎Exercise 1.3 Class 12 Maths ‎Class 12 Maths Chapter 1 Exercise 1.3 ‎Graphical Representation of Functions Exercise 1.3 ‎Class 12 Mathematics Exercise 1.3 Solution ‎12th Class Math Exercise 1.3 Complete Solution ‎Ex 1.3 Class 12 New Book 2026 ‎Class 12 Math New Book 2026 Exercise 1.3 ‎Punjab Board Class 12 Maths Exercise 1.3 ‎PCTB Class 12 Math Exercise 1.3 ‎PECTAA Class 12 Mathematics Exercise 1.3 ‎One-to-One Functions Class 12 Maths ‎Injective Functions Class 12 Mathematics ‎Horizontal Line Test Class 12 Maths ‎Inverse Functions Class 12 Maths ‎Finding Inverse Functions Algebraically ‎Domain and Range of Inverse Functions ‎Reflection in the Line y = x ‎Graphs of Inverse Functions ‎Inverse Trigonometric Functions Class 12 ‎Graph of sin⁻¹x Class 12 Maths ‎Function Transformations Class 12 ‎Horizontal and Vertical Shifts of Functions ‎Stretching and Compression of Graphs ‎Absolute Value Function Transformations ‎Class 12 Maths Chapter 1 Solution ‎Punjab Board Maths New Syllabus 2026 ‎Board Exam Preparation Mathematics ‎FSc Part 2 Mathematics ‎ICS Mathematics Class 12 ‎Entry Test Mathematics Preparation ‎ ‎📢 Hashtags: ‎ ‎#Class12Math #Exercise1.3 #GraphicalRepresentationOfFunctions #Chapter1 #PunjabBoard #MathsSolution #12thClassMath #PECTAA #PCTB #NewBook2026 #BoardExamPreparation #MathTutorial #Class12Mathematics #PunjabBoardMaths #Maths12 #FScMath #IntermediateMath #AlgebraicFunctions #TranscendentalFunctions #FundamentalTranscendentalFunctions #NonFundamentalTranscendentalFunctions #ExponentialFunctions #HyperbolicFunctions #InverseHyperbolicFunctions #DomainAndRange #FunctionClassification #MathConcepts #ProblemSolving #AnnualExam2027 #PCTB2026 #StudySmart #EntryTestPrep #LearningAtHome #CalculusCorner #MathematicsLearning #MathTutorialSeries #PunjabBoardMaths2026 #PCTBMaths #MathsForBoardExams #Ex1.3 #Class12Maths2026 ‎