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Exercise 7.4 Class 12 Math || NBF New Book 2025 || Conic Section Chapter 7 || Complete Parabola Concepts & Derivations ||Calculus Corner|| by Sir Mehtab "Welcome to Calculus Corner, your go-to destination for all things mathematics! ⭐ In this lecture, I present a comprehensive, concept-based, and exam-oriented solution to Exercise 7.4 from Class 12 Mathematics (National Book Foundation – NBF 2025 Edition), prescribed by the Federal Board (FBISE), Islamabad, Pakistan. ⭐ This exercise marks the beginning of the Parabola—one of the most important curves in Analytical Geometry with wide applications in physics, engineering, and competitive exams. 《《《● LIKE & SUBSCRIBE ●》》》 For more informative video lectures 00:00:00 Concept of Parabola 00:27:21 Question 01(i) 00:38:23 Question 01(ii) 00:47:17 Question 01(iii) 00:55:27 Question 01(iv) 01:02:37 Question 01(v) 01:19:51 Question 01(vi) 01:36:47 Question 01(vii) 01:52:58 Question 01(viii) 02:09:40 Question 02(i) 02:14:20 Question 02(ii) 02:18:33 Question 02(iii) 02:24:05 Question 02(iv) 02:33:42 Question 02(v) 02:43:30 Question 02(vi) 02:47:53 Question 02(vii) 02:58:18 Question 02(viii) 03:01:15 Question 02(ix) 03:05:03 Question 02(x) 03:07:24 Question 03 03:18:56 Question 04 🌟 What This Lecture Covers In this detailed session, we develop the parabola from scratch, starting from its geometrical definition and building up to its standard equation. Every concept is visualized and connected to real geometric meaning. 📌 Main Concepts Covered ✔️ Derivation of the standard equation of a parabola using focus & directrix ✔️ Understanding all elements of a parabola: • Vertex • Focus • Directrix • Axis of symmetry • Latus rectum & endpoints ✔️ Graph of a parabola opening right, left, upward, downward ✔️ Condition and formula for focal length ✔️ How to find the equation of a parabola when: • Focus & directrix are given • Vertex & focus are given • Vertex & directrix are given ✔️ Equation of parabola passing through three points ✔️ Finding vertex of parabola by considering horizontal or vertical tangent ✔️ Short, exam-focused methods for solving standard problems ✔️ Complete Exercise 7.4 Solution (NBF 2025 Edition) 🎯 Best For ✔️ Class 12 Mathematics – FBISE ✔️ National book foundation new book ✔️ ICS / Pre-Engineering Students ✔️ Entry Test Preparation – NET, ECAT, FAST, GIKI, PIEAS, LUMS SSE ✔️ Students needing conceptual clarity and confidence in conic sections 💡 Why Watch This Video? This lecture transforms the parabola from a formula-based topic into a visual, logical, and intuitive concept. With step-by-step derivations, diagrams, and solved examples, you will understand why each equation works — not just how to apply it. Perfect for board exams, short questions, MCQs, and university entry tests. 🔍 Related Searches Complete Exercise 7.4 Solution 12th class math Exercise 7.4 Nbf Class 12th Exercise 7.4 fbise board Maths Ex 7.4 for 12th class fbise Class 12 Math Exercise 7.4 NBF Exercise 7.4 Parabola Solution Class 12 NBF Class 12 Conic Section Chapter 7 2nd Year Math Chapter 7 Complete Solution Exercise 7.4 Parabola Shortcuts for Exams Conic Section Class 12 Parabola Problems 12th class math chapter 7 Ex 7.4 Class 12th maths Conic Section 12th class NBF maths Ex 7.4 solution 7.4 Exercise 12th class NBF math examples 12th class math problems Ex 7.4 Fbise board 2nd year math Ex 7.4 Class 12th math Ex 7.4 video Federal board 2nd year NBF Maths Ex 7.4 12th class National Book Foundation math chapter 7 Conic Section Class 12th maths Ex 7.4 solution 12th class math National book Ex 7.4 Federal board 12th class New Syllabus maths 12th class math problems and solutions Ex 7.4 Class 12 math Ex 7.4 explanation 12th class math National textbook Ex 7.4 Class 12 national book maths Ex 7.4 notes Federal board 2nd year math chapter 7 Ex 7.4 12th class math lectures Ex 7.4 2nd year class math solutions 12th class math new syllabus Ex 7.4 12th class math questions Ex: 7.4 Class 12 maths Ex 7.4 explanation 📢 Hashtags #MathematicsTutorials #2ndYearMath #CollegeMathematics #MathematicsExercises #BoardExamPrep #MathHelp #EducationalContent #StudyResources #Algebra#Calculus #Geometry#SirMehtab #FBISE #NewSyllabus #MathConcepts #ProblemSolving#Parabola #LearningAtHome#CalculusCorner #MathSkillsDevelopment #MathematicsForStudents #MathematicsEducation#DearSir #HighSchoolMath #MathematicalJourney #EducationalVideos #StudySmart #AceYourExams #MathematicsLearning #StudentSuccess #MathTutorialSeries #NewSyllabusNationalBookFoundation #ConicSection